Properties of the Number 3270

Three Thousand Two Hundred Seventy

Basics

Value: 3269 → 3270 → 3271

Parity: even

Prime: No

Previous Prime: 3259

Next Prime: 3271

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 109

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 109, 218

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011000110

Octal: 6306

Duodecimal: 1A86

Hexadecimal: cc6

Square: 10692900

Square Root: 57.18391382198319

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) = ∑_{d divides n} q(d), where q(d) = A000009 = number of partitions of d into distinct parts. A47966

Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (4,n)-rectangular grid with k '1's and (4n-k) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A225812

Fifth subdiagonal in array of n-gonal numbers A081422. A81436

Number of regions that the line segments in A091908(n) cut the equilateral triangle into. A92098

Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (8,n)-rectangular grid with k '1's and (8n-k) '0's: two patterns are in the same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A228167

Triangle of generalized Stirling numbers S_3,2(n,k) read by rows (n>=1, 2<=k<=2n). A78740

Number of integer partitions of n where no part is 2^k times any other part, for any k > 0. A323093

Table in which the g.f. of row n, R(n,x), satisfies ∑_k=-oo..+oo (x^k - n·R(n,x))^k = 1 - (n-2)*∑_k>=1 x^k², for n >= 1, as read by antidiagonals. A370030

Expansion of g.f. A(x) satisfying ∑_n=-oo..+oo (xⁿ - 4·A(x))ⁿ = 1 - 2*∑_n>=1 x^n². A370034

Maximum sum of products of successive pairs in a permutation of order n+1. A101986