Properties of the Number 64378

Sixty-Four Thousand Three Hundred Seventy-Eight

Basics

Value: 64377 → 64378 → 64379

Parity: even

Prime: No

Previous Prime: 64373

Next Prime: 64381

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 32189

Divisors: 1, 2, 32189, 64378

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101101111010

Octal: 175572

Duodecimal: 3130A

Hexadecimal: fb7a

Square: 4144526884

Square Root: 253.7282010340987

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

Number of (n+2) X 7 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals. A202444

Number of (1+1) X (n+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250878

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals. A202447

a(0) = 2, a(n) = 2ⁿ⁺¹*(n-1)! (n >= 1). A64378

Let m = 5 and set M = {{0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1}, {-1, m, (m + 1), -m*(m + 1), -m, (m + 2)}}. Let v[0] = {0, 1, 1, 2, 3, 5}, v[n] = M.v[n - 1]. Then a = Abs[v[n][[1]]. A107451