Properties of the Number 30399

Thirty Thousand Three Hundred Ninety-Nine

Basics

Value: 30398 → 30399 → 30400

Parity: odd

Prime: No

Previous Prime: 30391

Next Prime: 30403

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 10133

Divisors: 1, 3, 10133, 30399

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011010111111

Octal: 73277

Duodecimal: 15713

Hexadecimal: 76bf

Square: 924099201

Square Root: 174.35309002137015

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 unordered factorizations of n! into two distinct proper factors. A157672

Number of partitions p of n such that (number of numbers in p that have multiplicity 1) < (number of numbers in p having multiplicity > 1). A330001

a(n) = 76·n² - 1. A158765

Number of partitions of n with eight parts in which no part occurs more than twice. A320596

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259002

a(n) = A120963(n) + A341711(floor(n/2)). A360520

Write n in base 4, then complement each digit (d -> 3-d) and juxtapose. A30399