338
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 549
- Proper Divisor Sum (Aliquot Sum)
- 211
- 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
- 156
- Möbius Function
- 0
- Radical
- 26
- Omega Function (Ω)
- 3
- 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
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- yes
- Odd
- no
Names
- German
- dreihundertachtunddreißig· ordinal: dreihundertachtunddreißigste
- English
- three hundred thirty-eight· ordinal: three hundred thirty-eighth
- Spanish
- trescientos treinta y ocho· ordinal: 338º
- French
- trois cent trente-huit· ordinal: trois cent trente-huitième
- Italian
- trecentotrentotto· ordinal: 338º
- Latin
- trecenti triginta octo· ordinal: 338.
- Portuguese
- trezentos e trinta e oito· ordinal: 338º
Appears in sequences
- Number of alkyls Y^{II} C_n H_{2n+2} with n carbon atoms.at n=8A000646
- Boustrophedon transform of powers of 2.at n=5A000752
- a(n) = ceiling(n^2/2).at n=26A000982
- Numbers k such that sum of squares of k consecutive integers >= 1 is a square.at n=38A001032
- a(n) = 2*n^2.at n=13A001105
- a(n) is the number of c-nets with n+1 vertices and 2n+1 edges, n >= 1.at n=5A001507
- Nearest integer to n^2/8.at n=52A001971
- Expansion of 1/((1-x)^2*(1-x^4)) = 1/( (1+x)*(1+x^2)*(1-x)^3 ).at n=49A001972
- Number of partitions of 3n into n parts from the set {0, 1, ..., 6} (repetitions admissible).at n=10A001977
- Number of partitions of n into parts 2, 3, 4, 5, 6, 7.at n=33A001996
- Number of unlabeled connected loop-less graphs on n nodes containing exactly one cycle (of length at least 2) and with all nodes of degree <= 4.at n=8A002094
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=15A002134
- Numbers k such that (k^2 + k + 1)/7 is prime.at n=34A002641
- a(0) = 1; for n > 0, a(n) = a(n-1) + floor(sqrt(a(n-1))).at n=39A002984
- a(n) = A001950(A003234(n)) + 1.at n=34A003249
- Szekeres's sequence: a(n)-1 in ternary = n-1 in binary; also: a(1) = 1, a(2) = 2, and thereafter a(n) is smallest number k which avoids any 3-term arithmetic progression in a(1), a(2), ..., a(n-1), k.at n=55A003278
- Numbers which are the sum of 3 nonzero 4th powers.at n=13A003337
- Numbers that are the sum of 8 positive 4th powers.at n=31A003342
- Sums of distinct nonzero 4th powers.at n=12A003999
- Numbers k such that cos(k-1) <= 0 and cos(k) > 0.at n=53A004083