Properties of the Number 38344

Thirty-Eight Thousand Three Hundred Forty-Four

Basics

Value: 38343 → 38344 → 38345

Parity: even

Prime: No

Previous Prime: 38333

Next Prime: 38351

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 4793

Divisors: 1, 2, 4, 8, 4793, 9586, 19172, 38344

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001010111001000

Octal: 112710

Duodecimal: 1A234

Hexadecimal: 95c8

Square: 1470262336

Square Root: 195.816240388789

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

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 0101 or 1111. A259524

p-INVERT of (1,1,0,0,0,0,...), where p(S) = (1 - S)(1 - 2 S)(1 - 3 S). A291396

Number of partitions of [2n] into pairs whose sums or differences are primes. A342139

G.f.: exp( ∑_n>=1 xⁿ/n * ∑_k=0..n binomial(n², k*(n-k))/2 ). A228852

Number of (n+1) X (1+1) 0..1 arrays with each 2 X 2 subblock having clockwise pattern 0000 0001 0011 0101 or 1111. A259517

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 585", based on the 5-celled von Neumann neighborhood. A273075

a(1) = 3; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1. A25004

Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(0,5) + cn(1,5) + cn(4,5). A39867

Numbers k such that φ(k) + σ(k) is a prime. A38344