Properties of the Number 34193

Thirty-Four Thousand One Hundred Ninety-Three

Basics

Value: 34192 → 34193 → 34194

Parity: odd

Prime: No

Previous Prime: 34183

Next Prime: 34211

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 31 × 1103

Divisors: 1, 31, 1103, 34193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000010110010001

Octal: 102621

Duodecimal: 17955

Hexadecimal: 8591

Square: 1169161249

Square Root: 184.91349328807783

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

Coefficients in the expansion of ∏_m>=1 (1 - q^13·m)/(1 - q^m). A341714

Number of nonnegative solutions to (x₁)² + (x₂)² + ... + (x₉)² <= n. A341404

a(n) = C(n+3,4) + 3·C(n+1,3) + 5·C(n-1,2) + 7·n - 15. A34858

a(n) = C(n+3,4) + 3·C(n+1,3) + 5·C(n-1,2) + 7·n - 15 for n >= 3; a(1)=1, a(2)=10. A34859

Number of n X 7 0..1 arrays with every element unequal to 0, 1 or 5 king-move adjacent elements, with upper left element zero. A303718

Composite n such that both n and its reversal in base 10 are squarefree, none of the prime factors of n are palindromes and the prime factors of the reversal of n are the reversals of those of n. A83526

Number of binary codes of length 8 with n words. A34193

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1 or 5 king-move adjacent elements, with upper left element zero. A303719

Smallest number m such that (2n-1)*m has only odd digits. A296009

Molien series for complete weight enumerators of self-dual codes over GF(4) + GF(4)u with u² = 0. A92548