Number of the day: 3816

Properties of the number 3816:

3816 = 2³ × 3² × 53 is the 3286^th composite number and is not squarefree.
3816 has 3 distinct prime factors, 24 divisors, 9 antidivisors and 1248 totatives.
3816 has a Fibonacci digit product 144 in base 10.
3816 = 7³ + 9³ + 14³ is the sum of 3 positive cubes in 1 way.
3816 = 955² - 953² = 479² - 475² = 321² - 315² = 165² - 153² = 115² - 97² = 71² - 35² is the difference of 2 nonnegative squares in 6 ways.
3816 is the difference of 2 positive pentagonal numbers in 1 way.
3816 = 30² + 54² is the sum of 2 positive squares in 1 way.
3816 = 14² + 16² + 58² is the sum of 3 positive squares.
3816² = 2016² + 3240² is the sum of 2 positive squares in 1 way.
3816² is the sum of 3 positive squares.
3816 is a proper divisor of 107² - 1.
3816 = '381' + '6' is the concatenation of 2 semiprime numbers.
3816 is palindromic in (at least) the following bases: 31, 71, and -41.
3816 in base 16 = ee8 and consists of only the digits '8' and 'e'.
3816 in base 19 = aag and consists of only the digits 'a' and 'g'.
3816 in base 31 = 3u3 and consists of only the digits '3' and 'u'.
3816 in base 43 = 22W and consists of only the digits '2' and 'W'.
3816 in base 61 = 11Y and consists of only the digits '1' and 'Y'.

The number 3816 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000567: Octagonal numbers: n*(3*n-2). Also called star numbers.
A014642: Even octagonal numbers: 4*n*(3*n-1).
A118807: Number of partitions of n having no parts with multiplicity 3.
A135190: Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=5.
A138990: a(n) = Frobenius number for 4 successive primes = F[p(n),p(n+1),p(n+2),p(n+3)].
A139229: First differences of perfect numbers A000396, divided by 2.
A173682: Number of ways of writing n as a sum of 9 nonnegative cubes.
A219047: Numbers n such that 3^n - 28 is prime.
A257211: Numbers n such that the decimal expansions of both n and n^2 have 1 as smallest digit and 8 as largest digit.
A269656: T(n,k)=Number of length-n 0..k arrays with no adjacent pair x,x+1 repeated.