Properties of the Number 34209

Thirty-Four Thousand Two Hundred Nine

Basics

Value: 34208 → 34209 → 34210

Parity: odd

Prime: No

Previous Prime: 34183

Next Prime: 34211

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 181

Divisors: 1, 3, 7, 9, 21, 27, 63, 181, 189, 543

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010110100001

Octal: 102641

Duodecimal: 17969

Hexadecimal: 85a1

Square: 1170255681

Square Root: 184.95675170158023

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

Differences between two positive cubes in exactly 2 ways. A14440

Difference between two positive cubes in more than one way. A34179

E.g.f.: S(x) satisfies: S(x) = Integral sqrt( (1 + S(x)²)*(1 + 2·S(x)²) ) dx. A289695

Shifts left under Weigh transform. A38073

Shifts left 2 places under the "BIK" (reversible, indistinct, unlabeled) transform with a(1) = a(2) = 1. A32131

a(n) = (10n+1)*(10n+9). A1535

a(1)=1. a(n) = the smallest integer > a(n-1) that is an (odd) palindrome when written in binary, and is such that (a(n)-a(n-1))/2 is prime. A161536

Number of (n+2) X (3+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252187

Numbers k such that {k + 2, k + 4} and {k³ + 2, k³ + 4} are twin prime pairs. A284058

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252192