Properties of the Number 36330

Thirty-Six Thousand Three Hundred Thirty

Basics

Value: 36329 → 36330 → 36331

Parity: even

Prime: No

Previous Prime: 36319

Next Prime: 36341

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 7 × 173

Divisors: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110111101010

Octal: 106752

Duodecimal: 19036

Hexadecimal: 8dea

Square: 1319868900

Square Root: 190.60430215501432

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

Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5·n-2)/6. A2413

G.f. A(x,y) satisfies: A( x - y·G(x,y), y) = x + (1-y)*G(x,y) such that G(x,y) = Integral A(x,y) dx, where the coefficients T(n,k) of xⁿ*y^k form a triangle read by rows n>=1, for k=0..n-1. A277410

a(n) = n*(n+1)*(n² - 3·n + 6)/4. A62026

Diagonal terms in the expansion of (1+x·y*z)/(1-x-y-z). A338075

Numbers m such that 20·m + 1, 80·m + 1, 100·m + 1, and 200·m + 1 are all primes. A372186

Structured disdyakis dodecahedral numbers (vertex structure 9). A100161

Coefficient of·in the reduction by x²->x+1 of the polynomial p(n,x) defined below in Comments. A192753

Number of unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 10. A244464

Diagonal of rational function 1/(1 - (x³ + y³ + z³ + x⁴*y·z)). A361739

Coefficient array for powers of x² of polynomials appearing in a generalized Melham conjecture on alternating sums of fifth powers of Chebyshev S polynomials with odd indices. A220671