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317 is the smallest natural number that does not have its own Wikipedia article, a fact that has itself been noted as making the number notable, creating a situation similar to theinteresting number paradox.

317 is a prime number,Eisenstein prime with no imaginary part, Chen prime,^[5] one of the rare primes to be both right and left-truncatable,^[6] and a strictly non-palindromic number.

317 is the exponent (and number of ones) in the fourth base-10repunit prime.^[7]

318

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Main article:318 (number)

319

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319 = 11 × 29. 319 is the sum of three consecutive primes (103 + 107 + 109),Smith number,^[8] cannot be represented as the sum of fewer than 19 fourth powers,happy number in base 10^[9]

320s

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320

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320 = 2⁶ × 5 = (2⁵) × (2 × 5). 320 is aLeyland number,^[10] andmaximum determinant of a 10 by 10 matrix of zeros and ones.

321

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321 = 3 × 107, aDelannoy number^[11]

322

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322 = 2 × 7 × 23. 322 is asphenic,^[12] nontotient,untouchable,^[13] and aLucas number.^[14] It is also the first unprimeable number to end in 2.

323

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Main article:323 (number)

324

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324 = 2² × 3⁴ = 18². 324 is the sum of four consecutive primes (73 + 79 + 83 + 89), totient sum of the first 32 integers, a square number,^[15] and an untouchable number.^[13]

325

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Main article:325 (number)

326

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326 = 2 × 163. 326 is a nontotient, noncototient,^[16] and an untouchable number.^[13] 326 is the sum of the 14 consecutive primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47), lazy caterer number^[17]

327

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327 = 3 × 109. 327 is aperfect totient number,^[18] number of compositions of 10 whose run-lengths are either weakly increasing or weakly decreasing^[19]

328

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328 = 2³ × 41. 328 is arefactorable number,^[20] and it is the sum of the first fifteen primes (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).

329

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329 = 7 × 47. 329 is the sum of three consecutive primes (107 + 109 + 113), and ahighly cototient number.^[21]

330s

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330

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330 = 2 × 3 × 5 × 11. 330 is sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67),pentatope number (and hence abinomial coefficient ${\tbinom {11}{4}}$ ), apentagonal number,^[22] divisible by the number of primes below it, and asparsely totient number.^[23]

331

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331 is a prime number, super-prime,cuban prime,^[24] alucky prime,^[25] sum of five consecutive primes (59 + 61 + 67 + 71 + 73),centered pentagonal number,^[26]centered hexagonal number,^[27] andMertens function returns 0.^[28]

332

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332 = 2² × 83, Mertens function returns 0.^[28]

333

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333 = 3² × 37, Mertens function returns 0;^[28]repdigit; 2³³³ is the smallestpower of two greater than agoogol.

334

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334 = 2 × 167, nontotient.^[29]

335

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335 = 5 × 67. 335 is divisible by the number of primes below it, number ofLyndon words of length 12.

336

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336 = 2⁴ × 3 × 7, untouchable number,^[13] number of partitions of 41 into prime parts,^[30]largely composite number.^[31]

337

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337,prime number,emirp,permutable prime with 373 and 733, Chen prime,^[5]star number

338

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338 = 2 × 13², nontotient, number of square (0,1)-matrices without zero rows and with exactly 4 entries equal to 1.^[32]

339

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339 = 3 × 113,Ulam number^[33]

340s

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340

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340 = 2² × 5 × 17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), sum of the first four powers of4 (4¹ + 4² + 4³ + 4⁴), divisible by the number of primes below it, nontotient, noncototient.^[16] Number ofregions formed by drawing the line segments connecting any two of the 12 perimeter points of a 3 times 3 grid of squares (sequenceA331452 in theOEIS) and (sequenceA255011 in theOEIS).

341

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Main article:341 (number)

342

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342 = 2 × 3² × 19, pronic number,^[34] Untouchable number.^[13]

343

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343 = 7³, the first niceFriedman number that is composite since 343 = (3 + 4)³. It is the only known example of x²+x+1 = y³, in this case, x=18, y=7. It is z³ in a triplet (x,y,z) such that x⁵ + y² = z³.

344

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344 = 2³ × 43,octahedral number,^[35] noncototient,^[16] totient sum of the first 33 integers, refactorable number.^[20]

345

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345 = 3 × 5 × 23, sphenic number,^[12]idoneal number

346

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346 = 2 × 173, Smith number,^[8] noncototient.^[16]

347

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347 is a prime number,emirp,safe prime,^[36]Eisenstein prime with no imaginary part,Chen prime,^[5] Friedman prime since 347 = 7³ + 4, twin prime with 349, and a strictly non-palindromic number.

348

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348 = 2² × 3 × 29, sum of four consecutive primes (79 + 83 + 89 + 97),refactorable number.^[20]

349

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349, prime number, twin prime, lucky prime, sum of three consecutive primes (109 + 113 + 127), 5³⁴⁹ - 4³⁴⁹ is a prime number.^[37]

350s

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350

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350 = 2 × 5² × 7 = $\left\{{7 \atop 4}\right\}$ , primitive semiperfect number,^[38] divisible by the number of primes below it, nontotient, a truncated icosahedron of frequency 6 has 350 hexagonal faces and 12 pentagonal faces.

351

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351 = 3³ × 13, 26thtriangular number,^[39] sum of five consecutive primes (61 + 67 + 71 + 73 + 79), member ofPadovan sequence^[40] and number of compositions of 15 into distinct parts.^[41]

The international calling code forPortugal

352

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352 = 2⁵ × 11, the number ofn-Queens Problem solutions for n = 9. It is the sum of two consecutive primes (173 + 179), lazy caterer number^[17]

The international calling code forLuxembourg

353

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Main article:353 (number)

The international calling code forRepublic of Ireland

354

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354 = 2 × 3 × 59 = 1⁴ + 2⁴ + 3⁴ + 4⁴,^[42]^[43] sphenic number,^[12] nontotient, alsoSMTP code meaning start of mail input. It is also sum ofabsolute value of thecoefficients ofConway's polynomial.

The international calling code forIceland

355

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355 = 5 × 71,Smith number,^[8]Mertens function returns 0,^[28] divisible by the number of primes below it.^[44] Thecototient of 355 is 75,^[45] where 75 is the product of its digits (3 x 5 x 5 = 75).

The numerator of the best simplified rational approximation of pi having a denominator of four digits or fewer. This fraction (355/113) is known asMilü and provides an extremely accurate approximation for pi, being accurate to seven digits.

356

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356 = 2² × 89, Mertens function returns 0.^[28]

357

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357 = 3 × 7 × 17,sphenic number.^[12]

358

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358 = 2 × 179, sum of six consecutive primes (47 + 53 + 59 + 61 + 67 + 71), Mertens function returns 0,^[28] number of ways to partition {1,2,3,4,5} and then partition each cell (block) into subcells.^[46]

The international calling code forFinland

359

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Main article:359 (number)

360s

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360

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Main article:360 (number)

361

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361 = 19². 361 is a centered triangular number,^[3]centered octagonal number,centered decagonal number,^[47] member of theMian–Chowla sequence;^[48] also the number of positions on a standard 19 x 19Go board.

362

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362 = 2 × 181 = σ₂(19): sum of squares of divisors of 19,^[49] Mertens function returns 0,^[28] nontotient, noncototient.^[16]

363

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Main article:363 (number)

364

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364 = 2² × 7 × 13,tetrahedral number,^[50] sum of twelve consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Mertens function returns 0,^[28]nontotient.It is arepdigit in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44), the sum of six consecutive powers of 3 (1 + 3 + 9 + 27 + 81 + 243), and because it is the twelfth non-zerotetrahedral number.^[50]

365

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Main article:365 (number)

366

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366 = 2 × 3 × 61,sphenic number,^[12] Mertens function returns 0,^[28] noncototient,^[16] number of complete partitions of 20,^[51] 26-gonal and 123-gonal. Also the number of days in aleap year.

367

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367 is a prime number, a lucky prime,^[25]Perrin number,^[52]happy number,prime index prime and a strictly non-palindromic number.

368

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368 = 2⁴ × 23. It is also aLeyland number.^[10]

369

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Main article:369 (number)

370s

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370

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370 = 2 × 5 × 37, sphenic number,^[12] sum of four consecutive primes (83 + 89 + 97 + 101), nontotient, with 369 part of a Ruth–Aaron pair with only distinct prime factors counted,Base 10 Armstrong number since 3³ + 7³ + 0³ = 370.

371

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371 = 7 × 53, sum of three consecutive primes (113 + 127 + 131), sum of seven consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67), sum of the primes from its least to its greatest prime factor,^[53] the next such composite number is 2935561623745,Armstrong number since 3³ + 7³ + 1³ = 371.

372

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372 = 2² × 3 × 31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61),noncototient,^[16]untouchable number,^[13] --> refactorable number.^[20]

373

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373, prime number,balanced prime,^[54] one of the rare primes to be both right and left-truncatable (two-sided prime),^[6] sum of five consecutive primes (67 + 71 + 73 + 79 + 83), sexy prime with 367 and 379,permutable prime with 337 and 733, palindromic prime in 3 consecutive bases: 565₈ = 454₉ = 373₁₀ and also in base 4: 11311₄.

374

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374 = 2 × 11 × 17,sphenic number,^[12] nontotient, 374⁴ + 1 is prime.^[55]

375

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375 = 3 × 5³, number of regions in regular 11-gon with all diagonals drawn.^[56]

376

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376 = 2³ × 47,pentagonal number,^[22] 1-automorphic number,^[57] nontotient, refactorable number.^[20]

377

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377 = 13 × 29,Fibonacci number, acentered octahedral number,^[58] a Lucas andFibonacci pseudoprime, the sum of the squares of the first six primes.

378

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378 = 2 × 3³ × 7, 27thtriangular number,^[59]cake number,^[60] hexagonal number,^[61] Smith number.^[8]

379

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379 is a prime number, Chen prime,^[5] lazy caterer number^[17] and a happy number in base 10. It is the sum of the first 15 odd primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53). 379! - 1 is prime.

380s

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380

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380 = 2² × 5 × 19, pronic number,^[34] number of regions into which a figure made up of a row of 6 adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles.^[62]

381

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381 = 3 × 127, palindromic in base 2 and base 8.

381 is the sum of the first 16prime numbers (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53).

382

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382 = 2 × 191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number.^[8]

383

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383, prime number, safe prime,^[36]Woodall prime,^[63]Thabit number, Eisenstein prime with no imaginary part, palindromic prime. It is also the first number where the sum of a prime and the reversal of the prime is also a prime.^[64]4³⁸³ - 3³⁸³ is prime.

384

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Main article:384 (number)

385

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385 = 5 × 7 × 11,sphenic number,^[12]square pyramidal number,^[65] the number ofinteger partitions of 18.

385 = 10² + 9² + 8² + 7² + 6² + 5² + 4² + 3² + 2² + 1²

386

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386 = 2 × 193, nontotient, noncototient,^[16] centered heptagonal number,^[4] number of surface points on a cube with edge-length 9.^[66]

387

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387 = 3² × 43, number of graphical partitions of 22.^[67]

388

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388 = 2² × 97 = solution to postage stamp problem with 6 stamps and 6 denominations,^[68] number of uniform rooted trees with 10 nodes.^[69]

389

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389, prime number,emirp, Eisenstein prime with no imaginary part, Chen prime,^[5] highly cototient number,^[21] strictly non-palindromic number. Smallest conductor of a rank 2Elliptic curve.

390s

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390

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390 = 2 × 3 × 5 × 13, sum of four consecutive primes (89 + 97 + 101 + 103), nontotient,

\sum _{n=0}^{10}{390}^{n}

is prime^[70]

391

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391 = 17 × 23, Smith number,^[8]centered pentagonal number.^[26]

392

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392 = 2³ × 7²,Achilles number.

393

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393 = 3 × 131,Blum integer, Mertens function returns 0.^[28]

394

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394 = 2 × 197 = S₅ aSchröder number,^[71] nontotient, noncototient.^[16]

395

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395 = 5 × 79, sum of three consecutive primes (127 + 131 + 137), sum of five consecutive primes (71 + 73 + 79 + 83 + 89), number of (unordered, unlabeled) rooted trimmed trees with 11 nodes.^[72]

396

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396 = 2² × 3² × 11, sum of twin primes (197 + 199), totient sum of the first 36 integers, refactorable number,^[20] Harshad number,digit-reassembly number.