Properties of the Number 34116

Thirty-Four Thousand One Hundred Sixteen

Basics

Value: 34115 → 34116 → 34117

Parity: even

Prime: No

Previous Prime: 34061

Next Prime: 34123

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 2843

Divisors: 1, 2, 3, 4, 6, 12, 2843, 5686, 8529, 11372

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010101000100

Octal: 102504

Duodecimal: 178B0

Hexadecimal: 8544

Square: 1163901456

Square Root: 184.70517047446182

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

Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (8,n)-rectangular grid with k '1's and (8n-k) '0's: two patterns are in the same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A228167

Numbers which are the sum of their proper divisors containing the digit 8. A59467

Pascal-like triangle, where each entry is the sum of the four entries above it starting with 1 at the top. A356692

Convolution of Fibonacci F(n+1), n>=0, with F(n+9), n>=0. A67977

Numbers k for which there are no prime numbers in the range (k-4·sqrt(sqrt(k)), k]. A192320

a(n) = (1/φ(n)) * ∑_j=1..n ∑_k=1..n φ(n·j*k). A372668

Fractional part of cube root of a(n) starts with digit 0 (cubes excluded). A34116