Number of the day: 3094

Properties of the number 3094:

3094 = 2 × 7 × 13 × 17 is the 2651^th composite number and is squarefree.
3094 has 4 distinct prime factors, 16 divisors, 11 antidivisors and 1152 totatives.
Reversing the decimal digits of 3094 results in a prime.
3094 = (15 × 16)/2 + … + (27 × 28)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
3094 is the sum of 2 positive triangular numbers.
3094 is the difference of 2 positive pentagonal numbers in 5 ways.
3094 = 13² + 30² + 45² is the sum of 3 positive squares.
3094² = 1456² + 2730² = 294² + 3080² = 1960² + 2394² = 1190² + 2856² is the sum of 2 positive squares in 4 ways.
3094² is the sum of 3 positive squares.
3094 is a proper divisor of 883² - 1.
3094 = '309' + '4' is the concatenation of 2 semiprime numbers.
3094 is palindromic in (at least) the following bases: 21, 90, -21, and -30.
3094 in base 5 = 44334 and consists of only the digits '3' and '4'.
3094 in base 18 = 99g and consists of only the digits '9' and 'g'.
3094 in base 20 = 7ee and consists of only the digits '7' and 'e'.
3094 in base 21 = 707 and consists of only the digits '0' and '7'.
3094 in base 55 = 11E and consists of only the digits '1' and 'E'.

The number 3094 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000638: Number of permutation groups of degree n; also number of conjugacy classes of subgroups of symmetric group S_n; also number of molecular species of degree n.
A002865: Number of partitions of n that do not contain 1 as a part.
A057809: Numbers n such that pi(n) divides n.
A105078: Positive integers n such that n^10 + 1 is semiprime.
A105142: Positive integers n such that n^12 + 1 is semiprime.
A155596: 5^n-2^n+1^n
A182746: Bisection (even part) of number of partitions that do not contain 1 as a part A002865.
A187219: Number of partitions of n that do not contain parts less than the smallest part of the partitions of n-1.
A255872: Smallest Rhonda number to base b = n-th composite number, cf. A002808.
A285332: a(0) = 1, a(1) = 2, a(2n) = A019565(a(n)), a(2n+1) = A065642(a(n)).