Properties of the Number 30400

Thirty Thousand Four Hundred

Basics

Value: 30399 → 30400 → 30401

Parity: even

Prime: No

Previous Prime: 30391

Next Prime: 30403

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 5 ² × 19

Divisors: 1, 2, 4, 5, 8, 10, 16, 19, 20, 25

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011011000000

Octal: 73300

Duodecimal: 15714

Hexadecimal: 76c0

Square: 924160000

Square Root: 174.35595774162695

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 partitions of n whose median is not a part. A238479

T(n,k) = Number of n X k 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically. A207599

Square array T(n,k), n >= 0, k >= 0, read by descending antidiagonals, where column k is the expansion of (1 - (k-3)*x)/(1 - 2*(k-1)*x + ((k-3)*x)²)^3/2. A331511

a(n) = 19·n². A244631

Numbers with 42 divisors. A175750

A boustrophedon triangle. A227862

Numbers of the form p⁶*q²*r where p, q, and r are distinct primes. A179703

Row lengths of irregular triangle A381587. A381357

Expansion of (1 + 3·x)/(1 + 2·x + 9·x²)^3/2. A331551

Number of n X 7 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically. A207598