Properties of the Number 38424

Thirty-Eight Thousand Four Hundred Twenty-Four

Basics

Value: 38423 → 38424 → 38425

Parity: even

Prime: No

Previous Prime: 38393

Next Prime: 38431

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 1601

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 1601, 3202

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001011000011000

Octal: 113030

Duodecimal: 1A2A0

Hexadecimal: 9618

Square: 1476403776

Square Root: 196.02040710089346

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

Expansion of e.g.f.: -LambertW(-x/(1+x)). A60356

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

a(n) = 1728·n - 1320. A157263

Triangular array read by rows: T(n,k) is the number of rooted labeled trees on n nodes that have exactly k nodes with outdegree = 1, n>=1, 0<=k<=n-1. A231602

θ series of laminated lattice LAMBDA₁₃^max. A6917

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 49. A31727

Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11. A234211

Number of (n+1)X(4+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11. A234213

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 465", based on the 5-celled von Neumann neighborhood. A272316

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 469", based on the 5-celled von Neumann neighborhood. A272418