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264 (number)

From Wikipedia, the free encyclopedia
Natural number
← 263264 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,cclxiv
Binary1000010002
Ternary1002103
Senary11206
Octal4108
Duodecimal1A012
Hexadecimal10816

264 (two hundred [and] sixty-four) is thenatural number following263 and preceding265.

In mathematics

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

264 is the sum of all evencomposite numbers that are not the sum of twoabundant 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 evenprime number,2.

References

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  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).)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2024-07-26.
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