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341 (number)

From Wikipedia, the free encyclopedia

341 (three hundred [and] forty-one) is thenatural number following340 and preceding342.

Natural number
← 340341 342 →
Cardinalthree hundred forty one
Ordinal341st(three hundred forty-first)
Factorization11 × 31
Divisors1, 11, 31, 341
Greek numeralΤΜΑ´
Roman numeralCCCXLI
Binary1010101012
Ternary1101223
Senary13256
Octal5258
Duodecimal24512
Hexadecimal15516

In mathematics

[edit]
  • 341 is the sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61).
  • 341 is anoctagonal number and acentered cube number.
  • 341 is asuper-Poulet number.[1]
  • 341 is the smallestFermat pseudoprime; it is theleastcompositeodd modulusm greater than the baseb, that satisfies theFermat property "bm−1 − 1 is divisible bym", for bases up to 128 of b = 2, 15, 60, 63, 78, and 108.[2]
  • 341 is a palindrome in base 2 (1010101012), 4 (111114), 8 (5258), 17 (13117) and 30 (BB30).
  • 341 isrepdigit in base 4 (111114) and 30 (BB30).

References

[edit]
  1. ^Sloane, N. J. A. (ed.)."Sequence A050217 (Super-Poulet numbers: Poulet numbers whose divisors d all satisfy d|2^d-2.)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^Sloane, N. J. A. (ed.)."Sequence A001567 (Fermat pseudoprimes to base 2, also called Sarrus numbers or Poulet numbers.)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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