Properties of the Number -34560

Thirty-Four Thousand Five Hundred Sixty

Basics

Value: -34561 → -34560 → -34559

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁸ × 3 ³ × 5

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000011100000000

Octal: -103400

Duodecimal: -18000

Hexadecimal: -8700

Square: 1194393600

Square Root: 185.903200617956

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

a(n) = ∑_k=0..n k⁴ * (-1)^k * 3^n-k * binomial(n,k). A383151

Cusp form of weight 13/2 associated to the unique cusp form of weight 12 under Shimura correspondence. A54891

Triangle T(n, k) = coefficients of p(n, x), where p(n, x) = (-1)ⁿ*(x+2-n)*(x+2)^n-1, p(0, x) = 1, and p(1, x) = -1-x, read by rows. A158285

Expansion of log(1+x/cosh(x)). A9443

Triangle read by rows: T(n,k) = coefficient of x^n-k in ∏_m=0..n-1 (x+(-1)^m*m!), 0 <= k <= n. A260612

Determinant of the circulant matrix whose first column corresponds to the divisors of n. A306598

G.f.: 1 + 1!*x/(1 + 2!*x²/(1 + 3!*x³/(1 + 4!*x⁴/(1 + 5!*x⁵/(1 + ...))))). A343472

A triangle of q factorial type based on Stirling first polynomials: t(n,k)=If[m == 0, n!, Product[Sum[(-1)^{i + k}*StirlingS1[k - 1, i]*(m + 1)ⁱ, {i, 0, k - 1}], {k, 1, n}]]. A156588

Superfactorials: product of first n factorials. A178

Highly factorable numbers: numbers with a record number of proper factorizations. A33833