Properties of the Number 34424

Thirty-Four Thousand Four Hundred Twenty-Four

Basics

Value: 34423 → 34424 → 34425

Parity: even

Prime: No

Previous Prime: 34421

Next Prime: 34429

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 13 × 331

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 331, 662

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000011001111000

Octal: 103170

Duodecimal: 17B08

Hexadecimal: 8678

Square: 1185011776

Square Root: 185.5370582929459

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252640

a(n) = coefficient of xⁿ*yⁿ in ∏_n>=1 (1 - (xⁿ + yⁿ))³. A322214

Bitwise XOR (centrally aligned) of two consecutive terms of A122242. A376402

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252633

Denominators of the continued fraction convergents of the decimal concatenation of the twin prime pairs. A128849

Multiplicity of highest weight (or singular) vectors associated with character chi₃₆ of Monster module. A34424