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363 (number)

January 01, 1970

363 (three hundred [and] sixty-three) is the natural number following 362 and preceding 364.

Cardinalthree hundred sixty-three
Ordinal363rd
(three hundred sixty-third)
Factorization3 × 112
Divisors1, 3, 11, 33, 121, 363
Greek numeralΤΞΓ´
Roman numeralCCCLXIII
Binary1011010112
Ternary1111103
Senary14036
Octal5538
Duodecimal26312
Hexadecimal16B16

In mathematics edit

  • It is an odd, composite, positive, real integer, composed of a prime (3) and a prime squared (112).
  • 363 is a deficient number and a perfect totient number.
  • 363 is a palindromic number in bases 3, 10, 11 and 32.
  • 363 is a repdigit (BB) in base 32.
  • The Mertens 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 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].

References edit

  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.

January 01, 1970
number, this, article, needs, additional, citations, verification, please, help, improve, this, article, adding, citations, reliable, sources, unsourced, material, challenged, removed, find, sources, number, news, newspapers, books, scholar, jstor, june, 2016,. This article needs additional citations for verification Please help improve this article by adding citations to reliable sources Unsourced material may be challenged and removed Find sources 363 number news newspapers books scholar JSTOR June 2016 Learn how and when to remove this message 363 three hundred and sixty three is the natural number following 362 and preceding 364 362 363 364 List of numbersIntegers 0 100 200 300 400 500 600 700 800 900 Cardinalthree hundred sixty threeOrdinal363rd three hundred sixty third Factorization3 112Divisors1 3 11 33 121 363Greek numeralT3G Roman numeralCCCLXIIIBinary1011010112Ternary1111103Senary14036Octal5538Duodecimal26312Hexadecimal16B16In mathematics editIt is an odd composite positive real integer composed of a prime 3 and a prime squared 112 363 is a deficient number and a perfect totient number 363 is a palindromic number in bases 3 10 11 and 32 363 is a repdigit BB in base 32 The Mertens 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 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 References edit Sloane s A028442 Numbers n such that Mertens function is zero The On Line Encyclopedia of Integer Sequences OEIS Foundation Retrieved 2016 06 02 Retrieved from https en wikipedia org w index php title 363 number amp oldid 1224971696, wikipedia, wiki, book, books, library,

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