Number of the day: 34384

Properties of the number 34384:

34384 = 2⁴ × 7 × 307 is the 30708^th composite number and is not squarefree.
34384 has 3 distinct prime factors, 20 divisors, 13 antidivisors and 14688 totatives.
34384 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 34384 results in a semiprime.
34384 = 8597² - 8595² = 4300² - 4296² = 2153² - 2145² = 1235² - 1221² = 628² - 600² = 335² - 279² is the difference of 2 nonnegative squares in 6 ways.
34384 is the sum of 2 positive triangular numbers.
34384 is the difference of 2 positive pentagonal numbers in 2 ways.
34384 = 72² + 92² + 144² is the sum of 3 positive squares.
34384² is the sum of 3 positive squares.
34384 is a divisor of 17⁶ - 1.
34384 is palindromic in (at least) the following bases: 33, 52, and 90.
34384 in base 33 = viv and consists of only the digits 'i' and 'v'.
34384 in base 52 = CbC and consists of only the digits 'C' and 'b'.
34384 in base 53 = CCe and consists of only the digits 'C' and 'e'.

The number 34384 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A057546: Number of Catalan objects of size n fixed by Catalan Automorphism A057511/A057512 (deep rotation of general parenthesizations/plane trees).
A059376: Jordan function J_3(n).
A063453: Multiplicative with a(p^e) = 1 - p^3.
A082261: Row sums in A082259.
A192349: Coefficient of x in the reduction (by x^2->x+1) of polynomial p(n,x) identified in Comments.
A211689: Number of -4..4 arrays x(i) of n+1 elements i=1..n+1 with x(i)+x(j), x(i+1)+x(j+1), -(x(i)+x(j+1)), and -(x(i+1)+x(j)) having two or three distinct values for every i<=n and j<=n