432
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
- 20
- Divisor Sum
- 1240
- Proper Divisor Sum (Aliquot Sum)
- 808
- 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
- 144
- 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
- 115
- 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
- vierhundertzweiunddreißig· ordinal: vierhundertzweiunddreißigste
- English
- four hundred thirty-two· ordinal: four hundred thirty-second
- Spanish
- cuatrocientos treinta y dos· ordinal: 432º
- French
- quatre cent trente-deux· ordinal: quatre cent trente-deuxième
- Italian
- quattrocentotrentadue· ordinal: 432º
- Latin
- quadringenti triginta duo· ordinal: 432.
- Portuguese
- quatrocentos e trinta e dois· ordinal: 432º
Appears in sequences
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=34A000114
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=32A000114
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=34A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=53A000118
- a(n) = floor(n^2/3).at n=36A000212
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=19A000423
- Numbers that are not the sum of 4 tetrahedral numbers.at n=27A000797
- Numbers beginning with letter 'f' in English.at n=56A000867
- Jordan-Polya numbers: products of factorial numbers A000142.at n=23A001013
- Numbers that are the sum of 4 cubes in more than 1 way.at n=24A001245
- 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=33A001694
- a(n) = n*(n+3)*2^(n-3).at n=5A001793
- Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010.at n=37A002088
- Number of divisors of n-th highly composite number.at n=45A002183
- q-expansion of modular form of weight 13/2: eta(8 tau)^12 * theta(tau).at n=60A002284
- Glaisher's function J(n) (18 squares version).at n=2A002613
- a(n) = n*phi(n).at n=35A002618
- Numbers k such that (k^2 + k + 1)/13 is prime.at n=22A002642
- Number of integer points in a certain quadrilateral scaled by a factor of n.at n=30A002789
- a(0) = 1; for n > 0, a(n) = a(n-1) + floor(sqrt(a(n-1))).at n=44A002984