Properties of the Number 65344

Sixty-Five Thousand Three Hundred Forty-Four

Basics

Value: 65343 → 65344 → 65345

Parity: even

Prime: No

Previous Prime: 65327

Next Prime: 65353

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁶ × 1021

Divisors: 1, 2, 4, 8, 16, 32, 64, 1021, 2042, 4084

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111111101000000

Octal: 177500

Duodecimal: 31994

Hexadecimal: ff40

Square: 4269838336

Square Root: 255.62472493872733

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

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2. A275401

T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 nXk array. A221666

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 453", based on the 5-celled von Neumann neighborhood. A282302

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 395", based on the 5-celled von Neumann neighborhood. A287985

Number of polyhedra formed when an n-prism, formed from two n-sided regular polygons joined by n adjacent rectangles, is internally cut by all the planes defined by any three of its vertices. A338783

Number of odd entries in A004001 that are <= 2ⁿ. A95902

G.f. satisfies A(x) = exp( ∑_k>=1 (-1)^k+1 * A(x^k) * (2·x)^k/k ). A363441

Bisection of A086652. A86221

a(n) = A000225(n+3)-A052955(n). A86652

Number of binary words of length n which have no 0^b 1 1 0^a 1 0 1 0^b - matches, where a=b=2. A234592