Properties of the Number 34029

Thirty-Four Thousand Twenty-Nine

Basics

Value: 34028 → 34029 → 34030

Parity: odd

Prime: No

Previous Prime: 34019

Next Prime: 34031

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 19 × 199

Divisors: 1, 3, 9, 19, 57, 171, 199, 597, 1791, 3781

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010011101101

Octal: 102355

Duodecimal: 17839

Hexadecimal: 84ed

Square: 1157972841

Square Root: 184.46950967571848

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 of representations of n as a sum of products of positive integers. 1 is not allowed as a factor, unless it is the only factor. Representations which differ only in the order of terms or factors are considered equivalent. A66739

Number of (w,x,y) with all terms in {0,...,n} and |w-x|+|x-y|+|y-w| <= w+x+y. A213487

Triangle read by rows: T(n,k) is the coefficient A_k in the transformation ∑_k=0..n (k+1)*x^k = ∑_k=0..n A_k*(x+2)^k. A246788

Expansion of ∏_{1 <= i₁ <= i₂ <= i₃ <= i₄} 1/(1 - x^{i₁*i₂*i₃*i₄}). A321566

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 251", based on the 5-celled von Neumann neighborhood. A271018

Numbers that are primitively represented by (x²+2y² with x >= y >= 0). A34029