Properties of the Number 34551

Thirty-Four Thousand Five Hundred Fifty-One

Basics

Value: 34550 → 34551 → 34552

Parity: odd

Prime: No

Previous Prime: 34549

Next Prime: 34583

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 349

Divisors: 1, 3, 9, 11, 33, 99, 349, 1047, 3141, 3839

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011011110111

Octal: 103367

Duodecimal: 17BB3

Hexadecimal: 86f7

Square: 1193771601

Square Root: 185.878992895916

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 k such that σ(k)*k is a triangular number. A115909

Number of 1X9 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 1 zero-sum 9-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192696

Numbers k such that (2·10^k + 529)/9 is prime. A281734

T(n,k)=Number of length n+k+2 0..k arrays with every value 0..k appearing at least once in every consecutive k+3 elements, and new values 0..k introduced in order. A242322

Number of (n+2)X5 binary arrays avoiding patterns 010 and 101 in rows, columns and nw-to-se diagonals. A203350

Multiplicity of highest weight (or singular) vectors associated with character chi₁₆₃ of Monster module. A34551