Properties of the Number 34630

Thirty-Four Thousand Six Hundred Thirty

Basics

Value: 34629 → 34630 → 34631

Parity: even

Prime: No

Previous Prime: 34613

Next Prime: 34631

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 3463

Divisors: 1, 2, 5, 10, 3463, 6926, 17315, 34630

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011101000110

Octal: 103506

Duodecimal: 1805A

Hexadecimal: 8746

Square: 1199236900

Square Root: 186.09137540466511

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

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250676

Number of (n+1)X(2+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250670

Number of (3+1)X(n+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250679

Number of partitions of n into parts not of the form 15k, 15k+6 or 15k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 6 are greater than 1. A35960

θ series of extremal 3-modular even lattice in dimension 40. A34630