Properties of the Number 30968

Thirty Thousand Nine Hundred Sixty-Eight

Basics

Value: 30967 → 30968 → 30969

Parity: even

Prime: No

Previous Prime: 30949

Next Prime: 30971

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 7 ² × 79

Divisors: 1, 2, 4, 7, 8, 14, 28, 49, 56, 79

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111100011111000

Octal: 74370

Duodecimal: 15B08

Hexadecimal: 78f8

Square: 959017024

Square Root: 175.97727125967148

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

Number of oriented colorings of the 24 octahedral facets (or 24 vertices) of the 4-D 24-cell using subsets of a set of n colors. A338948

Numbers D such that D² = A³ + B⁴ + C⁵ has more than one solution in positive integers (A, B, C). A256603

G.f.: Product((1+xⁱ)/(1-xⁱ),i=1..n-1)/(1-xⁿ), with n = 5. A91773

a(n) = 64·n² - 8. A158487

Number of nondecreasing integer sequences of length 27 with sum zero and sum of absolute values 2n. A158161

Expansion of e.g.f. ( ∏_k>0 (1+x^k)^1/k! )^x. A356576

G.f. A(x) satisfies: [x^n-1] 1/A(x)^n² = 0 for n>2. A292877

Number of nX5 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j). A230065

[ exp(5/6)*n! ]. A30968