320
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 762
- Proper Divisor Sum (Aliquot Sum)
- 442
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 128
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 11
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- dreihundertzwanzig· ordinal: dreihundertzwanzigste
- English
- three hundred twenty· ordinal: three hundred twentieth
- Spanish
- trescientos veinte· ordinal: 320º
- French
- trois cent vingt· ordinal: trois cent vingtième
- Italian
- trecentoventi· ordinal: 320º
- Latin
- trecenti viginti· ordinal: 320.
- Portuguese
- trezentos e vinte· ordinal: 320º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=49A000008
- Numbers k such that k^4 + 1 is prime.at n=45A000068
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=27A000118
- Number of ways of writing n as a sum of 5 squares.at n=7A000132
- a(n) = floor(n^2/3).at n=31A000212
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=26A000549
- Moser-de Bruijn sequence: sums of distinct powers of 4.at n=24A000695
- Numbers that are the sum of 2 successive primes.at n=36A001043
- Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...at n=20A001082
- Numbers k such that k / (sum of digits of k) is a square.at n=22A001102
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 50, 100 cents.at n=49A001312
- Associated Mersenne numbers.at n=12A001350
- a(n) is the number of partitions of n into at most 3 parts; also partitions of n+3 in which the greatest part is 3; also number of unlabeled multigraphs with 3 nodes and n edges.at n=59A001399
- Number of ways of folding a 2 X n strip of stamps.at n=4A001415
- Partial sums of A001462; also a(n) is the last occurrence of n in A001462.at n=41A001463
- a(n) = 2^n + n^2.at n=8A001580
- Related to Zarankiewicz's problem.at n=23A001841
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=20A001859
- Number of partitions with no even part repeated; partitions of n in which no parts are multiples of 4.at n=20A001935
- Generalized sum of divisors function.at n=17A002132