Properties of the Number 34964

Thirty-Four Thousand Nine Hundred Sixty-Four

Basics

Value: 34963 → 34964 → 34965

Parity: even

Prime: No

Previous Prime: 34963

Next Prime: 34981

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 8741

Divisors: 1, 2, 4, 8741, 17482, 34964

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000100010010100

Octal: 104224

Duodecimal: 18298

Hexadecimal: 8894

Square: 1222481296

Square Root: 186.98663053812163

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 (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order. A204483

Number of groups of order prime(n)⁶. A232106

G.f.: ∑_n>=0 (xⁿ + i)ⁿ / (1 + i·xⁿ)ⁿ⁺¹, in which the constant term is taken to be 1. A323689

a(n) = 3·p²+39·p+344+24·gcd(p-1,3)+11·gcd(p-1,4)+2·gcd(p-1,5), where p = prime(n). A269749

Number of (n+2)X5 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order. A204478

Number of (n+2)X9 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order. A204482

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 129", based on the 5-celled von Neumann neighborhood. A270219

Sums of five consecutive primes. A34964

Number of two-sided n-step prudent walks ending on the top side of their box, avoiding two or more consecutive west steps and south steps. A190586