Properties of the Number 61340

Sixty-One Thousand Three Hundred Forty

Basics

Value: 61339 → 61340 → 61341

Parity: even

Prime: No

Previous Prime: 61339

Next Prime: 61343

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 3067

Divisors: 1, 2, 4, 5, 10, 20, 3067, 6134, 12268, 15335

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110111110011100

Octal: 167634

Duodecimal: 2B5B8

Hexadecimal: ef9c

Square: 3762595600

Square Root: 247.6691341285789

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

de Bruijn's S(4,n). A50983

a(n) = ∑_k=0..n C(n,k)⁴*(-1)^k. A228304

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is ∑_j=0..2·n (-1)^n+j * binomial(2·n,j)^k. A350594

G.f.: ∑_n>=0 R_n(x+x·y) * x^2·n*yⁿ / (1-x-x·y)^4·n+1 = ∑_n>=0 ∑_k=0..n C(n,k)⁴ * xⁿ*y^k, where R_n(x+x·y) equals the n-th row polynomial R_n(z) = ∑_k=0..2·n T(n,k)*z^k at z = x+x·y. A248600

a(n) = n*ω(n)ⁿ where ω(n) is the number of distinct prime divisors of n. A61340

Central terms of triangle A248600. A248706