Properties of the Number 33344

Thirty-Three Thousand Three Hundred Forty-Four

Basics

Value: 33343 → 33344 → 33345

Parity: even

Prime: No

Previous Prime: 33343

Next Prime: 33347

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁶ × 521

Divisors: 1, 2, 4, 8, 16, 32, 64, 521, 1042, 2084

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001001000000

Octal: 101100

Duodecimal: 17368

Hexadecimal: 8240

Square: 1111822336

Square Root: 182.60339536821323

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) contains n digits (either '3' or '4') and is divisible by 2ⁿ. A35014

Numbers with digits 3 and 4 only. A32834

Number T(n,k) of permutations of [n] having k cycles of the form (c1, c2, ..., c_m) where c1 = min_i>=1 c_i and c_j = min_i>=j c_i or c_j = max_i>=j c_i; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A344855

a(n) = ∑_{k=0..floor(n/2)} T(n-k,k), T given by A026758. A26768

T(n,k) = Number of n X k binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two no more than once. A268781

Trinomial transform of Lucas numbers (A000032). A82762

a(n) = n⁵ + n³ + n². A133073

Number of tilings of a 6 X n rectangle with n hexominoes of any shape. A174250

Number of Othello positions with unique realization at the end of the n-th ply. A124006

Number of 2 X 2 matrices having all terms in {1,...,n} and nonnegative even determinant. A211066