Properties of the Number 34627

Thirty-Four Thousand Six Hundred Twenty-Seven

Basics

Value: 34626 → 34627 → 34628

Parity: odd

Prime: No

Previous Prime: 34613

Next Prime: 34631

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 31 × 1117

Divisors: 1, 31, 1117, 34627

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011101000011

Octal: 103503

Duodecimal: 18057

Hexadecimal: 8743

Square: 1199029129

Square Root: 186.08331467383098

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

Number T(n,k) of entries in the k-th blocks of all set partitions of [n] when blocks are ordered by increasing lengths (and increasing smallest elements); triangle T(n,k), n>=1, 1<=k<=n, read by rows. A319298

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically. A208688

Least k >= 6 such that A087666(k) = n. A87710

a(n) = 36·n² + n. A157324

Number of parts in all partitions of n in which no part occurs more than nine times. A320612

a(n) = 961·n² + 31. A158675

Expansion of (1-q)^k/∏_j=1..k (1-q^j) for k=16. A275644

Number of entries in the second blocks of all set partitions of [n] when blocks are ordered by increasing lengths. A332942

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 12. A31690

Number of nX4 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically. A208684