Properties of the Number 40312

Forty Thousand Three Hundred Twelve

Basics

Value: 40311 → 40312 → 40313

Parity: even

Prime: No

Previous Prime: 40289

Next Prime: 40343

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5039

Divisors: 1, 2, 4, 8, 5039, 10078, 20156, 40312

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001110101111000

Octal: 116570

Duodecimal: 1B3B4

Hexadecimal: 9d78

Square: 1625057344

Square Root: 200.77848490313897

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = n! - n. A5096

Numbers whose digits are a permutation of [0,...,n] and which contain the product of any two adjacent digits as a substring. A203569

Difference between n and the sum of the factorials of its digits. A108911

a(n) is the number of distinct values of the determinant of an n X n symmetric Toeplitz matrix having 1 on the main diagonal and all the first n-1 primes off-diagonal. A374619

Numbers k such that σ(k-2) + σ(k+2) = σ(2k). A67172

Representation degeneracies for boson strings. A5294

Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and such that the sum of the bottom levels of all columns is k (n>=1, k>=0; informally, the number of the "missing" cells in the right bottom corner of the polyomino). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column. A122104

Triangle T(n, k) = n*( (n-1)! - (k-1)! ), read by rows. A137259

Largest number k such that (k!+n!)/(k+n) is an integer. A242747

a(n) = n! - ∑_i p_i!^e_i, where n = ∏_i (p_i^e_i). A86684