288
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 819
- Proper Divisor Sum (Aliquot Sum)
- 531
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 96
- Möbius Function
- 0
- Radical
- 6
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 24
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- zweihundertachtundachtzig· ordinal: zweihundertachtundachtzigste
- English
- two hundred eighty-eight· ordinal: two hundred eighty-eighth
- Spanish
- doscientos ochenta y ocho· ordinal: 288º
- French
- deux cent quatre-vingt-huit· ordinal: deux cent quatre-vingt-huitième
- Italian
- duecentoottantotto· ordinal: 288º
- Latin
- ducenti octoginta octo· ordinal: 288.
- Portuguese
- duzentos e oitenta e oito· ordinal: 288º
Appears in sequences
- Numbers k such that k^4 + 1 is prime.at n=42A000068
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=11A000082
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=26A000114
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=28A000114
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=22A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=44A000118
- Superfactorials: product of first n factorials.at n=4A000178
- Maximum m such that there are no two adjacent elements belonging to the same n-th power residue class modulo some prime p in the sequence 1,2,...,m (equivalently, there is no n-th power residue modulo p in the sequence 1/2,2/3,...,(m-1)/m).at n=6A000236
- Number of invertible 2 X 2 matrices mod n.at n=5A000252
- Number of rooted bicubic maps: a(n) = (8*n-4)*a(n-1)/(n+2) for n >= 2, a(0) = a(1) = 1.at n=5A000257
- Number of partitions into non-integral powers.at n=3A000397
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=16A000423
- Series-parallel numbers.at n=2A000432
- Number of n-input 3-output switching networks under action of symmetric group S(n) on the inputs and complementing group C(3,2) on the outputs.at n=1A000842
- a(n) = ceiling(n^2/2).at n=24A000982
- Jordan-Polya numbers: products of factorial numbers A000142.at n=21A001013
- Numbers that are the sum of 2 successive primes.at n=33A001043
- Dimensions (sorted, with duplicates removed) of real simple Lie algebras.at n=59A001066
- Numbers k such that k / (sum of digits of k) is a square.at n=20A001102
- a(n) = 2*n^2.at n=12A001105