Properties of the Number -34650

Thirty-Four Thousand Six Hundred Fifty

Basics

Value: -34651 → -34650 → -34649

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 ² × 7 × 11

Divisors: 1, 2, 3, 5, 6, 7, 9, 10, 11, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000011101011010

Octal: -103532

Duodecimal: -18076

Hexadecimal: -875a

Square: 1200622500

Square Root: 186.14510468986285

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

Coefficients of a partition transform for Lagrange inversion of -log(1 - u(.)*t), complementary to A134685 for an e.g.f. A133932

Triangle T(n,k) by rows: coefficient [x^n-k] of 2ⁿ * n! *L(n,1/2,x), with L the generalized Laguerre polynomials in the Abramowitz-Stegun normalization. A98503

Triangle read by rows: T(n, k) = (-1)^k+1*binomial(n,k)*binomial(n+k,k) (n >= k >= 0). A331430

De Bruijn's S(3,n): (3n)!/(n!)³. A6480

T(n,k) = binomial(n,k)*binomial(n+k,k), 0 <= k <= n, triangle read by rows. A63007

Triangle S(n, k) by rows: coefficients of 2^(n-1/2)*(x^1/2*d/dx)ⁿ when n is odd, and of 2^n/2*(x^1/2*d/dx)ⁿ when n is even. A223168

a(n) = (4n)!/(24ⁿ). A14608

Triangle S(n, k) by rows: coefficients of 2^(n-1/2)*(x^1/2*d/dx)ⁿ, where n = 1, 3, 5, ... A223523

Irregular triangle read by rows: coefficients C(j,k) of a partition transform for direct Lagrange inversion. A134685

De Bruijn's triangle, T(m,n) = (m·n)!/(n!^m) read by downward antidiagonals. A187783