Properties of the Number 34352

Thirty-Four Thousand Three Hundred Fifty-Two

Basics

Value: 34351 → 34352 → 34353

Parity: even

Prime: No

Previous Prime: 34351

Next Prime: 34361

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 19 × 113

Divisors: 1, 2, 4, 8, 16, 19, 38, 76, 113, 152

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011000110000

Octal: 103060

Duodecimal: 17A68

Hexadecimal: 8630

Square: 1180059904

Square Root: 185.34292541124952

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) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n-1 <= 2^p+1, with a(1) = 1, a(2) = 3, and a(3) = 1. A49964

Expansion of e.g.f. A(x) satisfying A(x) = ∑_n>=0 (A(x)ⁿ + 1)ⁿ * xⁿ/n!. A202999

G.f.: ∑_k>=1 x^2·k/(1-x^2·k) * ∏_k>=1 (1+x^k)/(1-x^k). A305104

The arithmetic mean of the n-th and (n+1)-st cubes, rounded down. A147656

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259002

Number of indecomposable binary [ n,5 ] codes without 0 columns. A34352

Equals one maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..1 nX3 array. A220534