Number of the day: 3470

Properties of the number 3470:

3470 = 2 × 5 × 347 is a sphenic number and squarefree.
3470 has 3 distinct prime factors, 8 divisors, 11 antidivisors and 1384 totatives.
3470 has a semiprime digit sum 14 in base 10.
3470 = 33² + … + 35² is the sum of at least 2 consecutive positive squares in 1 way.
3470 is the difference of 2 positive pentagonal numbers in 2 ways.
3470 = 6² + 25² + 53² is the sum of 3 positive squares.
3470² = 2082² + 2776² is the sum of 2 positive squares in 1 way.
3470² is the sum of 3 positive squares.
3470 is a proper divisor of 11¹⁷³ - 1.
3470 is palindromic in (at least) the following bases: -16, and -51.
3470 in base 8 = 6616 and consists of only the digits '1' and '6'.
3470 in base 41 = 22Q and consists of only the digits '2' and 'Q'.
3470 in base 58 = 11m and consists of only the digits '1' and 'm'.

The number 3470 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005914: Number of points on surface of hexagonal prism: 12n^2 + 2 for n>0 (coordination sequence for W(2)).
A005918: Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).
A051230: Bernoulli number B_{n} has denominator 66.
A061658: In base 4 n and n^2 contain the same digits in the same proportion.
A116636: Positive integers k such that 13^k == 9 (mod k).
A120328: Sum of three consecutive squares: n^2 + (n + 1)^2 + (n + 2)^2.
A129221: Residues of the Lucas - Lehmer primality test for M(13) = 8191.
A135885: Triangle Q, read by rows, where column k of Q equals column 0 of Q^(k+1) and Q is equal to the matrix square of integer triangle P = A135880 such that column 0 of Q equals column 0 of P shift left.
A164770: Numbers n with property that average digit of n^2 is 2.
A260841: T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101