341 (number)

341 (three hundred [and] forty-one) is the natural number following 340 and preceding 342.

← 340 341 342 →
Cardinalthree hundred forty one
Ordinal341st (three hundred forty-first)
Factorization11 × 31
Divisors1, 11, 31, 341
Greek numeralΤΜΑ´
Roman numeralCCCXLI
Binary1010101012
Ternary1101223
Senary13256
Octal5258
Duodecimal24512
Hexadecimal15516

In mathematics

  • 341 is the sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61).
  • 341 is an octagonal number and a centered cube number.
  • 341 is a super-Poulet number.[1]
  • 341 is the smallest Fermat pseudoprime; it is the least composite odd modulus m greater than the base b, that satisfies the Fermat property "bm−1 − 1 is divisible by m", for bases up to 128 of b = 2, 15, 60, 63, 78, and 108.[2]
  • 341 is a palindrome in base 2 (1010101012), 4 (111114), 8 (5258), 17 (13117) and 30 (BB30).
  • 341 is repdigit in base 4 (111114) and 30 (BB30).

References

  1. ^ Sloane, N. J. A. (ed.). "Sequence A050217 (Super-Poulet numbers: Poulet numbers whose divisors d all satisfy d|2^d-2.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A001567 (Fermat pseudoprimes to base 2, also called Sarrus numbers or Poulet numbers.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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