Properties of the Number 34396

Thirty-Four Thousand Three Hundred Ninety-Six

Basics

Value: 34395 → 34396 → 34397

Parity: even

Prime: No

Previous Prime: 34381

Next Prime: 34403

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 8599

Divisors: 1, 2, 4, 8599, 17198, 34396

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000011001011100

Octal: 103134

Duodecimal: 17AA4

Hexadecimal: 865c

Square: 1183084816

Square Root: 185.46158631910814

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 length-n 0..k arrays with no following elements greater than or equal to the first repeated value. A267232

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7. A251923

Triangle, read by rows, such that row n equals the coefficients of x^n²+n-1+k in F(x,n) for k = 1..n, where F(x,n) = (1 + x·F(x,n))*(1 + xⁿ/F(x,n)), for n>=1. A200171

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7. A251917

Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7. A251922

Number of length-n 0..4 arrays with no following elements greater than or equal to the first repeated value. A267228

Number of length-7 0..n arrays with no following elements greater than or equal to the first repeated value. A267236

Multiplicity of highest weight (or singular) vectors associated with character chi₈ of Monster module. A34396

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally and vertically. A254236

Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A257427