354
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 720
- Proper Divisor Sum (Aliquot Sum)
- 366
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 116
- Möbius Function
- -1
- Radical
- 354
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 32
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- yes
- Odd
- no
Names
- German
- dreihundertvierundfünfzig· ordinal: dreihundertvierundfünfzigste
- English
- three hundred fifty-four· ordinal: three hundred fifty-fourth
- Spanish
- trescientos cincuenta y cuatro· ordinal: 354º
- French
- trois cent cinquante-quatre· ordinal: trois cent cinquante-quatrième
- Italian
- trecentocinquantaquattro· ordinal: 354º
- Latin
- trecenti quinquaginta quattuor· ordinal: 354.
- Portuguese
- trezentos e cinquenta e quatro· ordinal: 354º
Appears in sequences
- Sum of fourth powers: 0^4 + 1^4 + ... + n^4.at n=4A000538
- a(n) = solution to the postage stamp problem with 3 denominations and n stamps.at n=14A001208
- Number of ways of making change for n cents using coins of 1, 2, 4, 12, 24, 48, 96, 120 cents (based on English coinage of 1939).at n=46A001364
- Number of ways of making change for n cents using coins of 1, 2, 4, 12, 24, 48, 96, 120 cents (based on English coinage of 1939).at n=47A001364
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^6)/(1-x^12)/(1-x^24)/(1-x^48)/(1-x^60).at n=23A001365
- a(n) = 1^n + 2^n + 3^n + 4^n.at n=4A001551
- Numbers k such that 11*2^k - 1 is prime.at n=7A001772
- Hit polynomials; convolution of natural numbers with Fibonacci numbers F(2), F(3), F(4), ....at n=9A001891
- a(n) = Sum_{t=0..n} g(t)*g(n-t) where g(t) = A002121(t).at n=25A002122
- MacMahon's generalized sum of divisors function.at n=12A002127
- Number of tree-like polyhexes rooted at a hexagon and containing n hexagons.at n=5A002213
- Denominators of Bernoulli numbers B_{2n}.at n=29A002445
- a(n) = Sum_{d|n, d <= 4} d^2 + 4*Sum_{d|n, d>4} d.at n=35A002791
- Number of solutions to a linear inequality.at n=17A002797
- a(n) = nearest integer to n^(3/2).at n=50A002821
- Numbers that are the sum of 4 nonzero 4th powers.at n=19A003338
- Numbers that are the sum of 9 positive 4th powers.at n=36A003343
- Symmetries in planted (1,3) trees on 2n vertices.at n=7A003609
- Sums of distinct nonzero 4th powers.at n=14A003999
- a(1)=1, a(2)=3; a(n) is least k such that no three terms of a(1), a(2), ..., a(n-1), k form an arithmetic progression.at n=57A004793