Properties of the Number -30456

Thirty Thousand Four Hundred Fifty-Six

Basics

Value: -30457 → -30456 → -30455

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ⁴ × 47

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111011011111000

Octal: -73370

Duodecimal: -15760

Hexadecimal: -76f8

Square: 927567936

Square Root: 174.51647486698783

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 nXk arrays containing k copies of 0..n-1 with no element plus any antidiagonal neighbor equal to n-1. A265870

Number of multisets of nonempty words over binary alphabet where each letter occurs n times. A360626

Expansion of ((η(q²) * η(q¹⁴)) / (η(q) * η(q⁷)))³ in powers of q. A120006

Expansion of η(q⁴) * η(q²⁸) / (η(q) * η(q⁷)) in powers of q. A123648

θ series of lattice Kappa₁₀. A15232

Number of irreducible representations of the symmetric group S_n such that their degree is divisible by 3. A61569

a(n) = 94·n². A174337

Number of (n+6)X10 0..1 matrices with each 7X7 subblock idempotent. A224584

Number of (n+6)X12 0..1 matrices with each 7X7 subblock idempotent. A224586

Number of 3Xn arrays containing n copies of 0..3-1 with no element plus any antidiagonal neighbor equal to 3-1. A265871