Properties of the Number 33360

Thirty-Three Thousand Three Hundred Sixty

Basics

Value: 33359 → 33360 → 33361

Parity: even

Prime: No

Previous Prime: 33359

Next Prime: 33377

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 139

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000001001010000

Octal: 101120

Duodecimal: 17380

Hexadecimal: 8250

Square: 1112889600

Square Root: 182.64720090929399

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

Expansion of ∏_{i>=1, j>=0} (1 + x^{i·3^j}) / (1 - x^{i·3^j}). A393555

Coefficient of q³ in ν(n), where ν(0)=1, ν(1)=b and, for n>=2, ν(n)=b*ν(n-1)+λ*(1+q+q²+...+q^n-2)*ν(n-2) with (b,λ)=(1,1). A74083

Expansion of g.f.: 1/((1 - x² - x³ - x⁴ - x⁵ - x⁶ - x⁷)*(1 + x + x² + x³ + x⁴ + x⁵ - x⁷)). A147605

a(n) = ∑_k=0..n binomial(n, k - 1)*(1 - k)^{k - 1}*(n - k)*(n - k + 1)^{n - k}. A368981

Number of ways of arranging 2n tokens in a row, with 2 copies of each token from 1 through n, such that between every pair of tokens labeled i (i=1..n) there is exactly one taken labeled (i+1 mod n). A117515

Triangle read by rows: T(n,k) is the number of noncrossing trees with n edges in which the leftmost leaf is at level k. A101409

a(n) = n! * [xⁿ] -exp(-n·x)*log(1 - x). A302581

Power series expansion of AQM(1,1-8x) where AQM denotes the arithmetic-quadratic mean. A342817

Number of permutations of floor(i·7/5), i=0..n-1, with all sums of 5 adjacent terms unique. A152360

a(n) = T(2n+1, n+4), T given by A027948. A27956