351
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 560
- Proper Divisor Sum (Aliquot Sum)
- 209
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 216
- Möbius Function
- 0
- Radical
- 39
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 81
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- dreihunderteinundfünfzig· ordinal: dreihunderteinundfünfzigste
- English
- three hundred fifty-one· ordinal: three hundred fifty-first
- Spanish
- trescientos cincuenta y uno· ordinal: 351º
- French
- trois cent cinquante et un· ordinal: trois cent cinquante et unième
- Italian
- trecentocinquantuno· ordinal: 351º
- Latin
- trecenti quinquaginta unus· ordinal: 351.
- Portuguese
- trezentos e cinquenta e um· ordinal: 351º
Appears in sequences
- Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 0.at n=27A000931
- Number of partitions of n into at most 4 parts.at n=32A001400
- Number of degree-n permutations of order dividing 3.at n=7A001470
- A Fielder sequence: a(n) = a(n-1) + a(n-2) - a(n-7), n >= 8.at n=12A001636
- Related to Zarankiewicz's problem.at n=24A001841
- Nearest integer to n^2/8.at n=53A001971
- Expansion of 1/((1-x)^2*(1-x^4)) = 1/( (1+x)*(1+x^2)*(1-x)^3 ).at n=50A001972
- MacMahon's generalized sum of divisors function.at n=8A002128
- Degree of rational Poncelet porism of n-gon.at n=50A002348
- Numbers y such that p^2 = x^2 + y^2, 0 < x < y, p = A002144(n).at n=41A002365
- Squares written in base 9.at n=16A002442
- a(n) = a(n-1) + a(n-2) - a(n-3).at n=13A002798
- Dimensions of split simple Lie algebras over any field of characteristic zero.at n=41A003038
- Number of rooted trees with n vertices in which vertices at the same level have the same degree.at n=29A003238
- Number of achiral rooted trees.at n=12A003241
- a(n) = A000201(A003234(n)) + n.at n=50A003248
- a(n) = A001950(A003234(n)) + 1.at n=36A003249
- Numbers that are the sum of 2 positive cubes.at n=21A003325
- Divisors of 2^36 - 1.at n=38A003543
- Smallest positive integer that is n times its digit sum, or 0 if no such number exists.at n=38A003634