Properties of the Number 33640

Thirty-Three Thousand Six Hundred Forty

Basics

Value: 33639 → 33640 → 33641

Parity: even

Prime: No

Previous Prime: 33637

Next Prime: 33641

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 5 × 29 ²

Divisors: 1, 2, 4, 5, 8, 10, 20, 29, 40, 58

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001101101000

Octal: 101550

Duodecimal: 17574

Hexadecimal: 8368

Square: 1131649600

Square Root: 183.412104289766

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

a(n) = ∑_k=1..n -μ(k+1) * a(n-k), with a(0)=1. A73776

T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with the sum of each 2 X 2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise. A235506

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise. A235747

The Wiener index of the zig-zag polyhex nanotube TUHC₆[2n,2] defined pictorially in Fig. 1 of the Eliasi et al. reference. A227703

Number of (n+1)X(1+1) 0..3 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise. A235502

Triangle read by rows: T(n,m)=A060187(1+n,1+m) *n! / (n-m)! A177429

Number of (n+1)X(3+1) 0..3 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise. A235504

Number of (n+1)X(3+1) 0..3 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise. A235745

Alternating square row sums of the table A072233 (A008284). A238313

Number of (3+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250732