Number of the day: 36468

Properties of the number 36468:

36468 = 2² × 3² × 1013 is the 32602^th composite number and is not squarefree.
36468 has 3 distinct prime factors, 18 divisors, 11 antidivisors and 12144 totatives.
36468 = 9118² - 9116² = 3042² - 3036² = 1022² - 1004² is the difference of 2 nonnegative squares in 3 ways.
36468 is the sum of 2 positive triangular numbers.
36468 is the difference of 2 positive pentagonal numbers in 1 way.
36468 = 132² + 138² is the sum of 2 positive squares in 1 way.
36468 = 10² + 32² + 188² is the sum of 3 positive squares.
36468² = 1620² + 36432² is the sum of 2 positive squares in 1 way.
36468² is the sum of 3 positive squares.
36468 is a proper divisor of 739²² - 1.
36468 is palindromic in (at least) the following bases: 45, 86, -38, -45, and -56.
36468 in base 17 = 7733 and consists of only the digits '3' and '7'.
36468 in base 37 = QNN and consists of only the digits 'N' and 'Q'.
36468 in base 44 = Iaa and consists of only the digits 'I' and 'a'.
36468 in base 45 = I0I and consists of only the digits '0' and 'I'.
36468 in base 55 = C33 and consists of only the digits '3' and 'C'.

The number 36468 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A157505: 1458n + 18.
A157719: Smallest k such that p^p -+ k is prime, where p=prime(n).
A274159: Number of integers in n-th generation of tree T(3^(-1/3)) defined in Comments.