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363 (number)

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Find sources: "363" number – news ·newspapers ·books ·scholar ·JSTOR(January 2025)
Natural number
← 362363 364 →
Cardinalthree hundred sixty-three
Ordinal363rd
(three hundred sixty-third)
Factorization3 × 112
Divisors1,3,11,33,121, 363
Greek numeralΤΞΓ´
Roman numeralCCCLXIII,ccclxiii
Binary1011010112
Ternary1111103
Senary14036
Octal5538
Duodecimal26312
Hexadecimal16B16

363 (three hundred [and] sixty-three) is thenatural number following362 and preceding364.

In mathematics

[edit]
  • It is an odd,composite,positive,real integer, composed of aprime (3) and a prime squared (112).
  • 363 is adeficient number and aperfect totient number.
  • 363 is apalindromic number in bases 3, 10, 11 and 32.
  • 363 is arepdigit (BB) in base 32.
  • TheMertens function returns 0.[1]
  • Any subset of its digits is divisible by three.
  • 363 is the sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59).
  • 363 is the sum of five consecutive powers of 3 (3 + 9 + 27 + 81 + 243).
  • 363 can be expressed as the sum of three squares in four different ways: 112 + 112 + 112, 52 + 72 + 172, 12 + 12 + 192, and 132 + 132 + 52.
  • 363 cubits is the solution given toRhind Mathematical Papyrus question 50 – find the side length of an octagon with the same area as a circle 9khet in diameter[1].

References

[edit]
  1. ^"Sloane's A028442 : Numbers n such that Mertens' function is zero".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-02.
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