Properties of the Number 34713

Thirty-Four Thousand Seven Hundred Thirteen

Basics

Value: 34712 → 34713 → 34714

Parity: odd

Prime: No

Previous Prime: 34703

Next Prime: 34721

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 19 × 29

Divisors: 1, 3, 7, 9, 19, 21, 29, 57, 63, 87

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011110011001

Octal: 103631

Duodecimal: 18109

Hexadecimal: 8799

Square: 1204992369

Square Root: 186.31425066269085

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

Numbers m such that there are precisely 19 groups of order m. A298910

Fifth column (m=4) of (1,3)-Pascal triangle A095660. A95661

Numbers that are the sum of four third powers in seven or more ways. A345150

Numbers that are the sum of four third powers in exactly seven ways. A345151

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*...*(1-x⁸)). A288343

Numbers k such that ω(k) = 4 and the largest prime factor of k equals the sum of its remaining distinct prime factors, where ω(k) = A001221(k). A383728

Number of unlabeled 2-connected minimally 2-edge-connected graphs with n nodes. A54317

Numbers n such that the sum of the distinct prime divisors of n that are congruent to 1 mod 4 equals the sum of the distinct prime divisors congruent to 3 mod 4. A215949

Number of n X 5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically. A208115

Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically. A208122