### Properties of the number 34384:

34384 = 2^{4}× 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 = 8597

^{2}- 8595

^{2}= 4300

^{2}- 4296

^{2}= 2153

^{2}- 2145

^{2}= 1235

^{2}- 1221

^{2}= 628

^{2}- 600

^{2}= 335

^{2}- 279

^{2}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 = 72

^{2}+ 92

^{2}+ 144

^{2}is the sum of 3 positive squares.

34384

^{2}is the sum of 3 positive squares.

34384 is a divisor of 17

^{6}- 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

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