264 (number)

← 263 264 265 →
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
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.

In technology

Other fields

  • The calendar years 264 AD and 264 BC
  • The longest someone has gone without sleeping is 264 hours.[8]
  • NGC 264, a lenticular galaxy[9]

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.
  5. ^ "What is H.264? | Advanced Video Coding (AVC) | Cloudflare".
  6. ^ "Phone Codes for Namibia - Full list of Namibia dialling codes". www.rebtel.com.
  7. ^ "Number 264". The encyclopedia of numbers.
  8. ^ "A Man Stayed Awake for 264 Hours and Set a Sleep Deprivation Record". Men's Health. March 27, 2021.
  9. ^ Guide, Universe. "NGC 264 Galaxy (NGC 264) Facts - Universe Guide". www.universeguide.com.