Properties of the Number 73344

Seventy-Three Thousand Three Hundred Forty-Four

Basics

Value: 73343 → 73344 → 73345

Parity: even

Prime: No

Previous Prime: 73331

Next Prime: 73351

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁷ × 3 × 191

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001111010000000

Octal: 217200

Duodecimal: 36540

Hexadecimal: 11e80

Square: 5379342336

Square Root: 270.8209740769721

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

G.f. satisfies: A(x) = x + A(A(x)²). A141200

T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock nonsingular. A183688

Number of closed binary words of length n that are not privileged. A297184

Integers k such that there exists an integer 0<m<k such that (1/σ(m)² + 1/σ(k)²)*(m+k)² = 1. A383964

Iterative mapping with offset: a(1)=1, a(n)=A095904(a(n-1)-1). A179223

Number of (n+1)X(n+1) binary arrays with every 2X2 subblock nonsingular. A183681

Number of (n+1) X 6 binary arrays with every 2 X 2 subblock nonsingular. A183684

Self-convolution of array T given by A027144. A27156

Number of permutations p of (1,2,3,...,n) such that ∑_k=1..n (p(k) mod k) = n. A73344