Number of the day: 2664

Properties of the number 2664:

2664 is the 706^th totient number.
2664 = 2³ × 3² × 37 is the 2277^th composite number and is not squarefree.
2664 has 3 distinct prime factors, 24 divisors, 8 antidivisors and 864 totatives.
2664 = 667² - 665² = 335² - 331² = 225² - 219² = 117² - 105² = 83² - 65² = 55² - 19² is the difference of 2 nonnegative squares in 6 ways.
2664 is the sum of 2 positive triangular numbers.
2664 = 30² + 42² is the sum of 2 positive squares in 1 way.
2664 = 8² + 10² + 50² is the sum of 3 positive squares.
2664² = 864² + 2520² is the sum of 2 positive squares in 1 way.
2664² is the sum of 3 positive squares.
2664 is a proper divisor of 73² - 1.
2664 is palindromic in (at least) the following bases: 11, 71, 73, and -28.
2664 in base 6 = 20200 and consists of only the digits '0' and '2'.
2664 in base 11 = 2002 and consists of only the digits '0' and '2'.
2664 in base 19 = 774 and consists of only the digits '4' and '7'.
2664 in base 36 = 220 and consists of only the digits '0' and '2'.
2664 in base 51 = 11C and consists of only the digits '1' and 'C'.

The number 2664 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001631: Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4), with initial conditions a(0..3) = (0, 0, 1, 0).
A033586: a(n) = 4*n*(2*n + 1).
A046092: 4 times triangular numbers: a(n) = 2*n*(n+1).
A084921: a(n) = lcm(p-1, p+1) where p is the n-th prime.
A088557: Least even leg of primitive Pythagorean triangles with odd leg 2n+1.
A103854: Positive integers n such that n^6 + 1 is semiprime.
A219048: Numbers n such that 3^n + 32 is prime.
A268904: T(n,k)=Number of nXk 0..2 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two exactly once.
A305148: Number of integer partitions of n whose distinct parts are pairwise indivisible.
A328171: Number of (necessarily strict) integer partitions of n with no two consecutive parts divisible.