Properties of the Number 67305

Sixty-Seven Thousand Three Hundred Five

Basics

Value: 67304 → 67305 → 67306

Parity: odd

Prime: No

Previous Prime: 67289

Next Prime: 67307

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 × 641

Divisors: 1, 3, 5, 7, 15, 21, 35, 105, 641, 1923

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011011101001

Octal: 203351

Duodecimal: 32B49

Hexadecimal: 106e9

Square: 4529963025

Square Root: 259.4320720342803

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

a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero dodecahedral numbers in exactly n ways, or -1 if no such integer exists. A360216

a(n) = n*(n + 1)*(n² + n + 22)/24. A318054

G.f. satisfies: A(x/A(x)) = 1 + x·A(x)². A147664

Second column of triangle A067304. A67305

Number of 7Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 1 0 vertically. A207943