388
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 686
- Proper Divisor Sum (Aliquot Sum)
- 298
- 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
- 192
- Möbius Function
- 0
- Radical
- 194
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 120
- 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
- dreihundertachtundachtzig· ordinal: dreihundertachtundachtzigste
- English
- three hundred eighty-eight· ordinal: three hundred eighty-eighth
- Spanish
- trescientos ochenta y ocho· ordinal: 388º
- French
- trois cent quatre-vingt-huit· ordinal: trois cent quatre-vingt-huitième
- Italian
- trecentoottantotto· ordinal: 388º
- Latin
- trecenti octoginta octo· ordinal: 388.
- Portuguese
- trezentos e oitenta e oito· ordinal: 388º
Appears in sequences
- Number of partitions into non-integral powers.at n=12A000148
- 4th power of rooted tree enumerator: linear forests of 4 rooted trees.at n=5A000300
- Powers of rooted tree enumerator.at n=3A000529
- Number of asymmetrical planar partitions of n: planar partitions (A000219) that when regarded as 3-D objects have no symmetry.at n=12A000785
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=27A001033
- a(n) is the solution to the postage stamp problem with 6 denominations and n stamps.at n=5A001211
- a(n) = solution to the postage stamp problem with n denominations and 6 stamps.at n=5A001216
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^20)).at n=22A001305
- Number of ways of making change for n cents using coins of 1, 2, 4, 10, 20, 40, 100 cents.at n=45A001310
- Number of ways of making change for n cents using coins of 1, 2, 4, 10, 20, 40, 100 cents.at n=44A001310
- Primes multiplied by 4.at n=24A001749
- Number of terms in a symmetrical determinant: a(n) = n*a(n-1) - (n-1)*(n-2)*a(n-3)/2.at n=6A002135
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=59A002155
- Numbers k such that (k^2 + k + 1)/3 is prime.at n=48A002640
- The square sieve.at n=33A002960
- Smallest number requiring n chisel strokes for its representation in Roman numerals.at n=18A002964
- Number of vacuously transitive relations on n nodes up to isomorphism.at n=4A003041
- Beginnings of periodic unitary aliquot sequences.at n=33A003062
- Expansion of the reciprocal of the g.f. defining A039924.at n=11A003116
- Numbers that are the sum of 8 positive 4th powers.at n=37A003342