Properties of the Number 94380

Ninety-Four Thousand Three Hundred Eighty

Basics

Value: 94379 → 94380 → 94381

Parity: even

Prime: No

Previous Prime: 94379

Next Prime: 94397

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 11 ² × 13

Divisors: 1, 2, 3, 4, 5, 6, 10, 11, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111000010101100

Octal: 270254

Duodecimal: 46750

Hexadecimal: 170ac

Square: 8907584400

Square Root: 307.2132809629167

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

Let t be the closest triangular number to n! (in case n=2, the only case where we have a tie, take the larger t); then a(n) = n! - t. A338489

a(n) = 5*(n+1)*binomial(n+3,6). A27791

a(n) = 12*(n+1)*binomial(n+3,9). A27794

a(n) = (n-3)*(n-2)²*(n-1)²*n/24. A292061

Greatest number having exactly n representations as ab+ac+bc with 1 <= a <= b <= c. A94380

Row 5 of array in A212801. A212802

Number of permutations of [n] having ten cycles of the form (c1, c2, ..., c_m) where c1 = min_i>=1 c_i and c_j = min_i>=j c_i or c_j = max_i>=j c_i. A346325