Number of the day: 16452

Properties of the number 16452:

16452 = 2² × 3² × 457 is the 14544^th composite number and is not squarefree.
16452 has 3 distinct prime factors, 18 divisors, 9 antidivisors and 5472 totatives.
16452 has an oblong digit product 240 in base 10.
16452 = 4114² - 4112² = 1374² - 1368² = 466² - 448² is the difference of 2 nonnegative squares in 3 ways.
16452 is the sum of 2 positive triangular numbers.
16452 is the difference of 2 positive pentagonal numbers in 1 way.
16452 = 24² + 126² is the sum of 2 positive squares in 1 way.
16452 = 2² + 8² + 128² is the sum of 3 positive squares.
16452² = 6048² + 15300² is the sum of 2 positive squares in 1 way.
16452² is the sum of 3 positive squares.
16452 is a proper divisor of 1237³ - 1.
16452 is palindromic in (at least) the following bases: 8, 64, -8, and -94.
16452 in base 4 = 10001010 and consists of only the digits '0' and '1'.
16452 in base 16 = 4044 and consists of only the digits '0' and '4'.

The number 16452 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A038471: Sums of 3 distinct powers of 4.
A100998: Indices of primes in sequence defined by A(0) = 97, A(n) = 10*A(n-1) - 63 for n > 0.
A107083: Integers n such that 10^n + 31 is prime.
A125995: A106486-encodings of combinatorial games with value 2.
A160916: Averages of twin prime pairs which are a sum of averages of two consecutive twin prime pairs.
A164876: Record differences for n^2 - phi(n)*sigma(n)
A179306: G.f.: A(x) = exp( Sum_{n>=1} A179307(n)*x^n/n ), where A179307(n) = Sum_{d|n} C(n,d)*sigma(d)*sigma(n/d).
A212064: Number of (w,x,y,z) with all terms in {1,...,n} and w^2>=x*y*z.
A226903: Shiraishi numbers: a parametrized family of solutions c to the Diophantine equation a^3 + b^3 + c^3 = d^3 with d = c+1.
A301887: Number of 4Xn 0..1 arrays with every element equal to 0, 1 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.