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Added perfect totient number as property for 363.
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* 363 can be expressed as the sum of three squares in four different ways: 11<sup>2</sup> + 11<sup>2</sup> + 11<sup>2</sup>, 5<sup>2</sup> + 7<sup>2</sup> + 17<sup>2</sup>, 1<sup>2</sup> + 1<sup>2</sup> + 19<sup>2</sup>, and 13<sup>2</sup> + 13<sup>2</sup> + 5<sup>2</sup>.
* 363 can be expressed as the sum of three squares in four different ways: 11<sup>2</sup> + 11<sup>2</sup> + 11<sup>2</sup>, 5<sup>2</sup> + 7<sup>2</sup> + 17<sup>2</sup>, 1<sup>2</sup> + 1<sup>2</sup> + 19<sup>2</sup>, and 13<sup>2</sup> + 13<sup>2</sup> + 5<sup>2</sup>.
*363 is the number of Austin Coon
*363 is the number of Austin Coon
*363 is a [[perfect totient number]].


==In other fields==
==In other fields==

Revision as of 09:11, 20 June 2017

← 362 363 364 →
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 the integer after 362 and before 364.

In mathematics

  • 363 is the sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59).
  • It is an odd, composite, positive, real integer, composed of a prime (3) and a prime squared (112).
  • The 363rd day in a year is 29 December (28 December in leap years).
  • 363 is a palindromic number in bases 3, 10, 11 and 32.
  • Any subset of its digits is divisible by three.
  • 363 is a repdigit (BB) in base 32.
  • 363 is a 122-gonal number.
  • 363 is a deficient number.
  • 363 is the sum of five consecutive powers of 3 (3 + 9 + 27 + 81 + 243) deficient number.
  • The Mertens function returns 0.[1]
  • 363 cubits is the solution given to Rhind Mathematical Papyrus question 50 – find the side length of an octagon with the same area as a circle 9 khet in diameter [1].
  • 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 is the number of Austin Coon
  • 363 is a perfect totient number.

In other fields

  • The years AD 363 (in base 35 written AD AD) and 363 BC (in base 32 written BB BC).
  • 363 may be associated with the messiah
  • Food additive E363 is succinic acid a food acid.
  • 363 Padua is a (probably typical Main Band) asteroid.
  • 363 is attested in Egyptian mythology. In the Edfu texts for example it appears to be associated with Thoth.
  • 363 main keys in numerology : The Creative, Innovative.
  • USS Balch (DD-363) was a Porter-class destroyer in the United States Navy.
  • 363 is the number of communes of the Maine-et-Loire département in France.
  • 363 is the London Laburnum dialling code for Winchmore Hill.
  • In Unicode the macron ū is &#363;
  • In May 1877, 363 French deputies passed the vote of no confidence in the duc de Broglie - the Seize Mai.
  • Arpa mailing lists are dealt with in RFC 363
  • RSVP is assigned port 363 see RFC 2205
  • Naphthalene is dealt with in PIM (Poisons Information Monograph) 363
  • Form 363 is the Companies House annual return filed in the United Kingdom.

Products

References

  1. ^ "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.