Properties of the Number 40384

Forty Thousand Three Hundred Eighty-Four

Basics

Value: 40383 → 40384 → 40385

Parity: even

Prime: No

Previous Prime: 40361

Next Prime: 40387

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶ × 631

Divisors: 1, 2, 4, 8, 16, 32, 64, 631, 1262, 2524

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110111000000

Octal: 116700

Duodecimal: 1B454

Hexadecimal: 9dc0

Square: 1630867456

Square Root: 200.95770699328753

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

First partial sums of A048739; second partial sums of A000129. A48776

T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1)). A234217

Starts of runs of 3 consecutive Pell-Niven numbers (A352320). A352322

a(n) = n! + n². A4664

Number of ways to place 3 nonattacking grasshoppers on a toroidal chessboard of size n·n. A190398

Number of n X n (0,1)-matrices A over the reals such that A² is the transpose of A. A336614

Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w=R, x=R, y<R, z<R, where R = max{w,x,y,z} - min{w,x,y,z}. A212750

Number of partitions of n into 8 parts such that every i-th smallest part (counted with multiplicity) is different from i. A244244

Numbers k that can be written as the sum of a perfect square and a factorial in at least 2 distinct ways. A358071

Number of arrays of 4 integers in -n..n with sum zero and adjacent elements differing in absolute value. A202964