Properties of the Number 34629

Thirty-Four Thousand Six Hundred Twenty-Nine

Basics

Value: 34628 → 34629 → 34630

Parity: odd

Prime: No

Previous Prime: 34613

Next Prime: 34631

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 17 × 97

Divisors: 1, 3, 7, 17, 21, 51, 97, 119, 291, 357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011101000101

Octal: 103505

Duodecimal: 18059

Hexadecimal: 8745

Square: 1199167641

Square Root: 186.08868853318302

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

a(n) = T(n,n-4), array T as in A055818. A55821

Number of 4-vexillary permutations in S_n, that is, permutations whose Stanley symmetric function has at most 4 terms or at most 4 Edelman-Greene tableaux. A223905

Partial sums of A033617. A299903

G.f. satisfies A(x) = ( 1 + x·A(x)² / (1 - x·A(x)) )³. A365147

a(n) = A306912(n) - 2. A209489

Number of ways to choose a simple labeled graph on [n], then partition the vertex set into independent sets, then choose a vertex from each independent set. A371633

Number of (n+1)X(6+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal. A232513

θ series of (putative) extremal 3-modular even lattice in dimension 38. A34629