Properties of the Number 30240

Thirty Thousand Two Hundred Forty

Basics

Value: 30239 → 30240 → 30241

Parity: even

Prime: No

Previous Prime: 30223

Next Prime: 30241

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 5 × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011000100000

Octal: 73040

Duodecimal: 15600

Hexadecimal: 7620

Square: 914457600

Square Root: 173.89652095427326

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

Multiply-perfect numbers: n divides σ(n). A7691

Expansion of Eisenstein series E₄(q) (alternate convention E₂(q)); θ series of E₈ lattice. A4009

Quadruple factorial numbers: a(n) = (2n)!/n!. A1813

Harmonic or Ore numbers: numbers k such that the harmonic mean of the divisors of k is an integer. A1599

Quadruple factorial numbers n!!!!: a(n) = n·a(n-4). A7662

4-perfect (quadruply-perfect or sous-triple) numbers: sum of divisors of n is 4n. A27687

Numbers whose abundancy index is a power of 2. A336702

a(n) = n!/5!. A1725

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

Triangle read by rows: T(n, k) = n! / k!, 1 <= k <= n. A173333