Properties of the Number 34904

Thirty-Four Thousand Nine Hundred Four

Basics

Value: 34903 → 34904 → 34905

Parity: even

Prime: No

Previous Prime: 34897

Next Prime: 34913

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 4363

Divisors: 1, 2, 4, 8, 4363, 8726, 17452, 34904

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000100001011000

Octal: 104130

Duodecimal: 18248

Hexadecimal: 8858

Square: 1218289216

Square Root: 186.82612237050793

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

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt((1+(k-4)*x+sqrt(1-2*(k+4)*x+((k-4)*x)²)) / (2 * (1-2*(k+4)*x+((k-4)*x)²))). A337389

Number of partitions of n such that (maximal multiplicity of parts) > (multiplicity of the maximal part). A240302

Expansion of sqrt((1-2·x+sqrt(1-12·x+4·x²)) / (2 * (1-12·x+4·x²))). A337390

Number of (w,x,y,z) with all terms in {1,...,n} and w·x<=2·y*z. A211787

Partial sums of A286271. A286272

Related to sept-factorial numbers A045754. A34904

Number of (n+1) X (4+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A235294

Number of (n+1)X(5+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise. A235676

Number of nX4 0..1 arrays with every element equal to 2, 3 or 4 king-move adjacent elements, with upper left element zero. A297862