264 (number)

263 264 265
← 260 261 262 263 264 265 266 267 268 269 →
0 100 200 300 400 500 600 700 800 900
Cardinaltwo hundred sixty-four
Ordinal264th
(two hundred sixty-fourth)
Factorization23 × 3 × 11
Divisors1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greek numeralΣΞΔ´
Roman numeralCCLXIV, cclxiv
Binary1000010002
Ternary1002103
Senary11206
Octal4108
Duodecimal1A012
Hexadecimal10816

264 (two hundred [and] sixty-four) is the natural number following 263 and preceding 265.

In mathematics

264 is an even composite number[1] with three distinct prime factors (23 × 3 × 11).[2] 264 is a Harshad number in base ten,[3] also divisible by each of its digits.

264 is the sum of all even composite numbers that are not the sum of two abundant numbers (not necessarily distinct): 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 26 + 28 + 34 + 46.[4] The only other even number that is not the sum of two abundant numbers is the only even prime number, 2.

References

  1. Weisstein, Eric W. "Composite Number". mathworld.wolfram.com.
  2. "Number 264 - Facts about the integer". Numbermatics.
  3. "About The Number 264". June 12, 2023.
  4. Sloane, N. J. A. (ed.). "Sequence A048242 (Numbers that are not the sum of two abundant numbers (not necessarily distinct).)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2024-07-26.
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