Properties of the Number 35328

Thirty-Five Thousand Three Hundred Twenty-Eight

Basics

Value: 35327 → 35328 → 35329

Parity: even

Prime: No

Previous Prime: 35327

Next Prime: 35339

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁹ × 3 × 23

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101000000000

Octal: 105000

Duodecimal: 18540

Hexadecimal: 8a00

Square: 1248067584

Square Root: 187.95744199153168

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

E.g.f. satisfies A(x) = exp(x·A(-x)). A141369

Numbers k such that σ (x) = k has exactly 12 solutions. A60676

Numbers n such that there exists an x≠n that makes {x,x,n} an amicable multiset. A259303

G.f. f(x) = ∑_n>=1 a(n)*xⁿ satisfies f(f(x)) = x*(1 + 4·x). A27436

T(n,k) is the number of n X k 0..n·k-1 arrays with upper left zero and lower right n·k-1 and each element differing from its horizontal, diagonal and antidiagonal neighbors by a power of two. A265635

T(n,k) is the number of n-step king-knight's tours (piece capable of both kinds of moves) on a k X k board summed over all starting positions. A187850

Expansion of x⁴*(5 - 16·x + 13·x²)/(1 - 2·x)⁴. A268587

Triangle read by rows: T(n,k) = number of parking functions of length n whose lead number is k. A298592

Triangular array: the fusion of polynomial sequences P and Q given by p(n,x) = (2x+1)ⁿ and q(n,x) = (2x+1)ⁿ. A193730

Mirror of the triangle A193730. A193731