Properties of the Number 30768

Thirty Thousand Seven Hundred Sixty-Eight

Basics

Value: 30767 → 30768 → 30769

Parity: even

Prime: No

Previous Prime: 30763

Next Prime: 30773

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 641

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111100000110000

Octal: 74060

Duodecimal: 15980

Hexadecimal: 7830

Square: 946669824

Square Root: 175.4080955942456

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

1 + ∑_{n >= 1} ∑_{k = 0..n-1} (-1)ⁿ*T(n,k)*y^2·k*x^2·n/(2·n)! = JacobiCN(x,y). A60627

Expansion of ∏_k>=1 1/(1-x^k)^k*(k-1*(k-2)/6). A258352

Term at which last number of height n occurs in Recamán's sequence A005132. A64294

Number of subsets of {1..n} (including empty set) such that the pairwise LCMs of elements are all distinct. A196721

Coefficients of elliptic function cn. A6089

Expansion of (theta₃(z)*theta₃(19z) + theta₂(z)*theta₂(19z))⁴. A28644

Values of k at which the ratio k/A005132(k) sets a new record. A330788

Number of nonisomorphic semigroups of order <= n. A118581

G.f. A(x) satisfies: A(x) = 1 + x·A(x³/(1 - x)³) / (1 - x)³. A354695

a(n) = ∑_k=1..n-1 τ(k) * sigma₂(n-k). A374973