324
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 15
- Divisor Sum
- 847
- Proper Divisor Sum (Aliquot Sum)
- 523
- 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
- 108
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- dreihundertvierundzwanzig· ordinal: dreihundertvierundzwanzigste
- English
- three hundred twenty-four· ordinal: three hundred twenty-fourth
- Spanish
- trescientos veinticuatro· ordinal: 324º
- French
- trois cent vingt-quatre· ordinal: trois cent vingt-quatrième
- Italian
- trecentoventiquattro· ordinal: 324º
- Latin
- trecenti viginti quattuor· ordinal: 324.
- Portuguese
- trezentos e vinte e quatro· ordinal: 324º
Appears in sequences
- a(n) = n*(n+3)/2.at n=24A000096
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=25A000114
- Number of partitions into non-integral powers.at n=9A000135
- a(n) = a(n-1) + a(n-2) - 2, a(0) = 4, a(1) = 3.at n=12A000211
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=17A000423
- n followed by n^2.at n=35A000463
- Number of types of Latin squares of order n. Equivalently, number of nonisomorphic 1-factorizations of K_{n,n}.at n=6A000528
- Squares that are not the sum of 2 nonzero squares.at n=12A000548
- Moser-de Bruijn sequence: sums of distinct powers of 4.at n=26A000695
- a(n) is the number of conjugacy classes in the alternating group A_n.at n=19A000702
- a(n) = max{(n - i)*a(i) : i < n}; a(0) = 1.at n=16A000792
- Powers of 18.at n=2A001027
- Numbers k such that k / (sum of digits of k) is a square.at n=23A001102
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=20A001172
- Squares of Lucas numbers.at n=6A001254
- Maximal number of unattacked squares with n queens on n X n board (answers for n >= 17 only probable).at n=26A001366
- Number of n-step self-avoiding walks on diamond.at n=5A001394
- Perfect powers: m^k where m > 0 and k >= 2.at n=24A001597
- A Fielder sequence: a(n) = a(n-1) + a(n-3) + a(n-4), n >= 4.at n=12A001638
- Powerful numbers, definition (1): if a prime p divides n then p^2 must also divide n (also called squareful, square full, square-full or 2-powerful numbers).at n=28A001694