Number of the day: 3442

Properties of the number 3442:

3442 = 2 × 1721 is semiprime and squarefree.
3442 has 2 distinct prime factors, 4 divisors, 19 antidivisors and 1720 totatives.
3442 has an emirp digit sum 13 in base 10.
3442 has a Fibonacci digit sum 13 in base 10.
Reversing the decimal digits of 3442 results in an emirpimes.
3442 is the sum of 2 positive triangular numbers.
3442 is the difference of 2 positive pentagonal numbers in 2 ways.
3442 = 29² + 51² is the sum of 2 positive squares in 1 way.
3442 = 7² + 12² + 57² is the sum of 3 positive squares.
3442² = 1760² + 2958² is the sum of 2 positive squares in 1 way.
3442² is the sum of 3 positive squares.
3442 is a proper divisor of 1489⁸ - 1.
3442 is an emirpimes in (at least) the following bases: 4, 8, 10, 12, 13, 14, 15, 17, 19, 22, 26, 30, 31, 35, 41, 45, 48, 50, 52, 55, 59, 61, 67, 68, 69, 70, 71, 72, 74, 76, 80, 89, 90, 95, 97, 98, and 99.
3442 is palindromic in (at least) the following bases: 40, -43, and -93.
3442 in base 9 = 4644 and consists of only the digits '4' and '6'.
3442 in base 39 = 2AA and consists of only the digits '2' and 'A'.
3442 in base 40 = 262 and consists of only the digits '2' and '6'.
3442 in base 58 = 11K and consists of only the digits '1' and 'K'.

The number 3442 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A049429: Triangle T(n,d) = number of distinct d-dimensional polyominoes (or polycubes) with n cells (n >= 2,d>=1).
A049430: Triangle read by rows: T(n,d) = number of distinct properly d-dimensional polyominoes (or polycubes) with n cells (n >= 1,d>=0).
A090288: a(n) = 2*n^2 + 6*n + 2.
A096926: Numbers n for which there are exactly five k such that n = k + (product of nonzero digits of k).
A100883: Number of partitions of n in which the sequence of frequencies of the summands is nondecreasing.
A186482: T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors
A195848: Expansion of 1 / f(-x^1, -x^5) in powers of x where f() is Ramanujan's two-variable theta function.
A250877: 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
A295943: T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1 or 3 king-move neighboring 1s.
A299266: Coordination sequence for "cab" 3D uniform tiling formed from octahedra and truncated cubes.