Properties of the Number 68384

Sixty-Eight Thousand Three Hundred Eighty-Four

Basics

Value: 68383 → 68384 → 68385

Parity: even

Prime: No

Previous Prime: 68371

Next Prime: 68389

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 2137

Divisors: 1, 2, 4, 8, 16, 32, 2137, 4274, 8548, 17096

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000101100100000

Octal: 205440

Duodecimal: 336A8

Hexadecimal: 10b20

Square: 4676371456

Square Root: 261.50334605889844

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 refinement-ordered pairs of strict integer partitions of n. A317142

Number of nondecreasing integer sequences of length 9 with sum zero and sum of absolute values 2n. A158143

Number of n X 5 0..1 arrays with every element unequal to 0, 1, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318542

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318545

a(n) is the smallest number m such that any lattice having at least m elements must have a sublattice with exactly n elements. A68384