384
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 1020
- Proper Divisor Sum (Aliquot Sum)
- 636
- 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
- 6
- Omega Function (Ω)
- 8
- 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
- 14
- 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
- dreihundertvierundachtzig· ordinal: dreihundertvierundachtzigste
- English
- three hundred eighty-four· ordinal: three hundred eighty-fourth
- Spanish
- trescientos ochenta y cuatro· ordinal: 384º
- French
- trois cent quatre-vingt-quatre· ordinal: trois cent quatre-vingt-quatrième
- Italian
- trecentoottantaquattro· ordinal: 384º
- Latin
- trecenti octoginta quattuor· ordinal: 384.
- Portuguese
- trezentos e oitenta e quatro· ordinal: 384º
Appears in sequences
- Order of the group SL(2,Z_n).at n=7A000056
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=22A000064
- -1 + number of partitions of n.at n=18A000065
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=15A000082
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=30A000114
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=35A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=33A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=47A000118
- Double factorial of even numbers: (2n)!! = 2^n*n!.at n=4A000165
- Convolution of A000203 with itself.at n=8A000385
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=18A000423
- Numbers that are not the sum of 4 nonzero squares.at n=19A000534
- Jordan-Polya numbers: products of factorial numbers A000142.at n=22A001013
- Numbers that are the sum of 2 successive primes.at n=42A001043
- Numbers n such that n / product of digits of n is a square.at n=11A001104
- Number of linear geometries on n (unlabeled) points.at n=9A001200
- Sorted list of orders of Weyl groups of types A_n, B_n, D_n, E_n, F_4, G_2.at n=10A001217
- Successive numerators of Wallis's approximation to Pi/2 (unreduced).at n=5A001900
- a(n) = 6*4^n.at n=3A002023
- Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010.at n=35A002088