Properties of the Number 85344

Eighty-Five Thousand Three Hundred Forty-Four

Basics

Value: 85343 → 85344 → 85345

Parity: even

Prime: No

Previous Prime: 85333

Next Prime: 85361

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 7 × 127

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100110101100000

Octal: 246540

Duodecimal: 41480

Hexadecimal: 14d60

Square: 7283598336

Square Root: 292.1369541841634

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

Structured rhombic dodecahedral numbers (vertex structure 9). A100157

Expansion of g.f. 1/((1-2·x)*(1-4·x)*(1-8·x)). A16290

Numbers k such that A380845(k) = 3·k. A380847

1/24 of product of three numbers: n-th prime, previous and following number. A127922

Weight distribution of [128,120,4] extended Hamming code of length 128. This is also the Reed-Muller code RM(5,7). A10083

Triangle read by rows: T(n,k) is the number of k-dimensional subspaces of an n-dimensional vector space over F₂ that do not contain a given nonzero vector, n>=0, 0<=k<=n. A289537

Even square pyramidal numbers. A15222

a(n) is the smallest square pyramidal number with exactly n prime factors (counted with multiplicity). A359192

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384810. A384813

Triangle T(n, k) = binomial(2·k, k)*binomial(n+k, n-k) + binomial(2·n-k, k)*binomial(2*(n-k), n-k), read by rows. A156763