328
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 630
- Proper Divisor Sum (Aliquot Sum)
- 302
- 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
- 160
- Möbius Function
- 0
- Radical
- 82
- 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
- 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
- 112
- 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
- dreihundertachtundzwanzig· ordinal: dreihundertachtundzwanzigste
- English
- three hundred twenty-eight· ordinal: three hundred twenty-eighth
- Spanish
- trescientos veintiocho· ordinal: 328º
- French
- trois cent vingt-huit· ordinal: trois cent vingt-huitième
- Italian
- trecentoventotto· ordinal: 328º
- Latin
- trecenti viginti octo· ordinal: 328.
- Portuguese
- trezentos e vinte e oito· ordinal: 328º
Appears in sequences
- Numbers k such that k^4 + 1 is prime.at n=46A000068
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 20, 50 cents.at n=45A001313
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=7A001486
- Eulerian numbers of the second kind: <<n+3, n>>.at n=2A002539
- A generalized partition function.at n=10A002598
- a(n) = 2*(a(n-1) + a(n-2)), a(0) = 0, a(1) = 1.at n=7A002605
- High temperature expansion of -u/J in odd powers of v = tanh(J/kT), where u is energy per site of the spin-1/2 Ising model on square lattice with nearest-neighbor interaction J at temperature T.at n=5A002908
- Cluster series for bond percolation problem on honeycomb.at n=8A003199
- 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=50A003278
- Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (0,1).at n=6A003289
- Binary entropy function: a(1)=0; for n > 1, a(n) = n + min { a(k)+a(n-k) : 1 <= k <= n-1 }.at n=55A003314
- Numbers that are the sum of 8 positive 4th powers.at n=30A003342
- Discriminants of quadratic fields whose fundamental unit has norm -1.at n=41A003653
- a(n) is smallest number which is uniquely of the form a(j) + a(k) with 1 <= j < k < n and a(1) = 1, a(2) = 4.at n=59A003666
- Sum of remainders of n mod k, for k = 1, 2, 3, ..., n.at n=43A004125
- Second-order Eulerian numbers <<n,2>>.at n=3A004301
- 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=50A004793
- a(n) = floor(n*phi^8), where phi is the golden ratio, A001622.at n=7A004923
- Number of trivalent maps with n nodes.at n=5A005027
- Number of protruded partitions of n with largest part at most 10.at n=8A005116