Properties of the Number 35408

Thirty-Five Thousand Four Hundred Eight

Basics

Value: 35407 → 35408 → 35409

Parity: even

Prime: No

Previous Prime: 35407

Next Prime: 35419

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 2213

Divisors: 1, 2, 4, 8, 16, 2213, 4426, 8852, 17704, 35408

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000101001010000

Octal: 105120

Duodecimal: 185A8

Hexadecimal: 8a50

Square: 1253726464

Square Root: 188.17013578142522

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, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A299682

Diagonal sums of triangle A096815. A212264

Number of edges in a polygon whose boundary consists of n+2 equally spaced points around a semicircle and n+2 equally spaced points along the diameter (a total of 2n+2 points). See Comments for precise definition. A334459

E.g.f. arcsin(log(x+1)-tan(x))=-1/2!*x²-6/4!*x⁴+8/5!*x⁵-135/6!*x⁶... A13235

Number of permutations of length n which avoid the patterns 231, 12354. A116850

a(n) = (2·n³ + 5·n² + 5·n)/2. A162267

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A299678

Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A299681

sinh(log(x+1)-tan(x)) = -1/2!*x² - 6/4!*x⁴ + 8/5!*x⁵ - 135/6!*x⁶ + ... A13239

Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 3 (mod 5). A35408