Properties of the Number 34391

Thirty-Four Thousand Three Hundred Ninety-One

Basics

Value: 34390 → 34391 → 34392

Parity: odd

Prime: No

Previous Prime: 34381

Next Prime: 34403

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 17 ³

Divisors: 1, 7, 17, 119, 289, 2023, 4913, 34391

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000011001010111

Octal: 103127

Duodecimal: 17A9B

Hexadecimal: 8657

Square: 1182740881

Square Root: 185.44810594880715

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

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x+289)² = y². A207059

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*...*(1-x⁷)). A288342

a(n) is the minimal odd evil k, such that kⁱ, i=1,2,...,n, all are evil, and a(n)=0, if there is no such k. A230495

a(n) = 7·n³. A244727

List of nonzero determinants of Bordered Lights Out matrices BL_k. A296351

Composite numbers whose exponents in their canonical factorization lie in the geometric progression 1, 3, 9, ... A102838

Number of partitions of n in which the largest summand has frequency 1, the next largest summand has frequency at most 2, the third largest has frequency at most 3, etc. A244395

a(n) = n³ if n odd, 7·n³/8 if n even. A309335

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 41", based on the 5-celled von Neumann neighborhood. A269874

a(n) is the least number k such that {k, k², ..., kⁿ} are all evil numbers (A001969), but kⁿ⁺¹ is not. A345398