Properties of the Number 34528

Thirty-Four Thousand Five Hundred Twenty-Eight

Basics

Value: 34527 → 34528 → 34529

Parity: even

Prime: No

Previous Prime: 34519

Next Prime: 34537

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 13 × 83

Divisors: 1, 2, 4, 8, 13, 16, 26, 32, 52, 83

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011011100000

Octal: 103340

Duodecimal: 17B94

Hexadecimal: 86e0

Square: 1192182784

Square Root: 185.81711438939095

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 ways to split a strict integer partition of n into consecutive subsequences with strictly decreasing sums. A318684

Number of tilings of an n X n square using right trominoes and at most one monomino. A233807

a(n) = A216960(n)/2. A216961

Number of minimum dominating sets in the n X n grid graph. A347632

Sum of divisors of n and product of divisors of n are both perfect cubes. A244428

Number of numbers with sum of digits n in fractional base 4/3. A364780

Triangle read by rows: T(n,k) is the number of hill-free Schroeder paths of length 2n that have k returns to the x-axis (0<=k<=floor(n/2)). A Schroeder path of length 2n is a lattice path from (0,0) to (2n,0) consisting of U=(1,1), D=(1,-1) and H=(2,0) steps and never going below the x-axis. A hill is a peak at height 1. A114692

Number of arrays of 4 integers in -n..n with sum zero and adjacent elements differing in absolute value. A202964

Number of maximum irredundant sets in the n-necklace graph. A393467

Multiplicity of highest weight (or singular) vectors associated with character chi₁₄₀ of Monster module. A34528