Properties of the Number 34309

Thirty-Four Thousand Three Hundred Nine

Basics

Value: 34308 → 34309 → 34310

Parity: odd

Prime: No

Previous Prime: 34303

Next Prime: 34313

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 11 × 3119

Divisors: 1, 11, 3119, 34309

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011000000101

Octal: 103005

Duodecimal: 17A31

Hexadecimal: 8605

Square: 1177107481

Square Root: 185.22688789697892

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) = a(n-1) + ∑_{k=1..floor(n/4)} a(n-4k), with a(0)=1. A113439

Numbers k > 0 such that 10^k+4 - 23 is prime. A265629

G.f. = b(2)*b(4)*b(6)/(x⁹+x⁸+x⁷+x⁶-x⁵-x⁴-x³-x²-x+1), where b(k) = (1-x^k)/(1-x). A266372

Fourth row of A113439. A113443

Number of nX3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 0,2,1,0,0 for x=0,1,2,3,4. A198180

Number of (n+1) X (6+1) 0..1 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251126

Inverse binomial transform of decimal expansion of π. A130597

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251128

Decimal part of a(n)^1/3 starts with reversal of its integer part: first term of runs. A34309

Numbers of undirected cycles in the n-crown graph. A234618