Properties of the Number 30360

Thirty Thousand Three Hundred Sixty

Basics

Value: 30359 → 30360 → 30361

Parity: even

Prime: No

Previous Prime: 30347

Next Prime: 30367

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 11 × 23

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011010011000

Octal: 73230

Duodecimal: 156A0

Hexadecimal: 7698

Square: 921729600

Square Root: 174.24121211699602

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) = 2·binomial(n,3). A7290

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250877

In the interior of a regular 2n-gon with all diagonals drawn, the number of points where exactly three diagonals intersect. A101363

T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having the maximum of any three terms equal to the minimum of the remaining three terms. A250014

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=9. A135194

a(n) = 1·2*3·4*5 + 6·7*8·9*10 + 11·12·13·14·15 + ... + (up to n). A319206

Numbers n such that the multiplicative group modulo n is the direct product of 6 cyclic groups. A272596

a(n) = 5·4*3·2*1 + 10·9*8·7*6 + 15·14·13·12·11 + ... + (up to the n-th term). A319869

G.f. A(x) satisfies: 1 = ∑_n>=0 ( (1+x)ⁿ - 13·x*A(x) )ⁿ * 6ⁿ / 7ⁿ⁺¹. A323317

Numbers with prime factorization pqrst³. A189984