Properties of the Number 74688

Seventy-Four Thousand Six Hundred Eighty-Eight

Basics

Value: 74687 → 74688 → 74689

Parity: even

Prime: No

Previous Prime: 74687

Next Prime: 74699

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 389

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: 10010001111000000

Octal: 221700

Duodecimal: 37280

Hexadecimal: 123c0

Square: 5578297344

Square Root: 273.29105364061957

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 nXk 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 king-move adjacent elements, with upper left element zero. A298230

a(n) = n! * ∑_k=1..n ( ∑_d∣k (-1)^{k/d + 1} ) /k. A356389

Numbers k such that k divides 1 + ∑_j=1..k prime(j)¹⁴. A232966

Number of length 3+1 0..n arrays with the sum of adjacent differences multiplied by some arrangement of +-1 equal to zero. A250168

Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 king-move adjacent elements, with upper left element zero. A298226

Number of 7 X 7 arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to n. A156392

Number of n X n arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to 32. A156492

Permutation of natural numbers induced by the Catalan bijection gmA074688! acting on the parenthesizations encoded by A014486/A063171. A74688