Properties of the Number 34560

Thirty-Four Thousand Five Hundred Sixty

Basics

Value: 34559 → 34560 → 34561

Parity: even

Prime: No

Previous Prime: 34549

Next Prime: 34583

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁸ × 3 ³ × 5

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011100000000

Octal: 103400

Duodecimal: 18000

Hexadecimal: 8700

Square: 1194393600

Square Root: 185.903200617956

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Superfactorials: product of first n factorials. A178

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

12-almost primes (generalization of semiprimes). A69273

Products of distinct factorials. A58295

Double-superfactorials: a(n) = ∏_k=1..n (2k)!. A98694

Numbers n such that n! is a product of distinct factorials k!*l!*m!*... with k, l, m, etc. < n. A75082

Square array A(row,col) read by antidiagonals: A(1,col) = A256450(col-1), and for row > 1, A(row,col) = A255411(A(row-1,col)); Dispersion of factorial base shift A255411 (array transposed). A257503

Highly totient numbers: each number k on this list has more solutions to the equation φ(x) = k than any preceding k (where φ is Euler's totient function, A000010). A97942

Square array A(row,col): A(row,1) = A256450(row-1), and for col > 1, A(row,col) = A255411(A(row,col-1)); Dispersion of factorial base shift A255411. A257505

Numbers k such that (number of prime factors of k counted with multiplicity) less (number of distinct prime factors of k) = 9. A195093