Properties of the Number 30339

Thirty Thousand Three Hundred Thirty-Nine

Basics

Value: 30338 → 30339 → 30340

Parity: odd

Prime: No

Previous Prime: 30323

Next Prime: 30341

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 3371

Divisors: 1, 3, 9, 3371, 10113, 30339

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011010000011

Octal: 73203

Duodecimal: 15683

Hexadecimal: 7683

Square: 920454921

Square Root: 174.18094040393743

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 integer compositions of n whose leaders of strictly decreasing runs are weakly decreasing. A374765

Triangle, T(n, k) = coefficients [x^k]( p(x, n) ), where p(x, n) = (1/2)*( (1+x)ⁿ + 2ⁿ*(1-x)ⁿ⁺¹*LerchPhi(x, -n, 1/2) ), read by rows. A147565

Eulerian numbers of type D, the primary type. A262226

Triangular sequence defined by T(n, m) = Coefficients(q(x,n) + x^n-2*q(1/x,n))/4, where q(x, n) = d²*p(x, n)/dx² and p(x, n) = 2ⁿ*(1-x)ⁿ⁺¹*LerchPhi(x, -n, 1/2). A154706

Eulerian numbers of type D, the complementary type. A262227

Expansion of (1/x) * Series_Reversion( x / ((1+x) * (1+x³)²) ). A369442

(# 1's)-(# 0's) in first n terms of A003137. A30339

First differences of A016759. A215960

E.g.f. satisfies: A(x) = 1 + Integral A(x) + A(x)²*log(A(x)) dx. A249833