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304 (number)

From Wikipedia, the free encyclopedia

← 303  304  305 →
Cardinalthree hundred four
Ordinal304th
(three hundred fourth)
Factorization24 × 19
Divisors1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greek numeralΤΔ´
Roman numeralCCCIV
Binary1001100002
Ternary1020213
Senary12246
Octal4608
Duodecimal21412
Hexadecimal13016

304 is the natural number following 303 and preceding 305.

In mathematics

  • 304 is an even composite number with two prime factors.[1]
  • 304 is the sum of consecutive primes in two different ways:[2] It is the sum of 41+43+47+53+59+61 and of 23+29+31+37+41+43+47+53.
  • 304 is a primitive semiperfect number meaning that it is a semiperfect number that is not divisible by any other semiperfect number.[3]
  • 304 is an untouchable number meaning that it is not equal to the sum of any number’s proper divisors.[4]
  • 304 is a nontotient number meaning that it is an even number where phi(x) cannot result in that number.[5]

References

  1. ^ "Facts about the integer". mathworld.wolfram.com.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A067372 (Integers expressible as the sum of (at least two) consecutive primes in at least 2 ways)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A006036 (Primitive pseudoperfect numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A005114 (Untouchable numbers, also called non aliquot numbers: impossible values for the sum of aliquot parts function (A001065))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A005277 (Nontotients: even numbers k such that phi(m) = k has no solution)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
This page was last edited on 5 June 2024, at 17:38
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