### Properties of the number 3045:

3045 = 3 × 5 × 7 × 29 is the 2608^{th}composite number and is squarefree.

3045 has 4 distinct prime factors, 16 divisors, 15 antidivisors and 1344 totatives.

3045 has an oblong digit sum 12 in base 10.

Reversing the decimal digits of 3045 results in a semiprime.

3045 = 1523

^{2}- 1522

^{2}= 509

^{2}- 506

^{2}= 307

^{2}- 302

^{2}= 221

^{2}- 214

^{2}= 109

^{2}- 94

^{2}= 83

^{2}- 62

^{2}= 67

^{2}- 38

^{2}= 61

^{2}- 26

^{2}is the difference of 2 nonnegative squares in 8 ways.

3045 is the sum of 2 positive triangular numbers.

3045 is the difference of 2 positive pentagonal numbers in 3 ways.

3045 = 20

^{2}+ 23

^{2}+ 46

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

3045

^{2}= 2100

^{2}+ 2205

^{2}= 357

^{2}+ 3024

^{2}= 504

^{2}+ 3003

^{2}= 1827

^{2}+ 2436

^{2}is the sum of 2 positive squares in 4 ways.

3045

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

3045 is a proper divisor of 349

^{2}- 1.

3045 is palindromic in (at least) base 86.

3045 in base 12 = 1919 and consists of only the digits '1' and '9'.

3045 in base 14 = 1177 and consists of only the digits '1' and '7'.

3045 in base 19 = 885 and consists of only the digits '5' and '8'.

3045 in base 22 = 669 and consists of only the digits '6' and '9'.

3045 in base 27 = 44l and consists of only the digits '4' and 'l'.

### The number 3045 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A000266: E.g.f. exp(-x^2/2) / (1-x).

A005476: a(n) = n*(5*n - 1)/2.

A007059: Number of balanced ordered trees with n nodes.

A022289: a(n) = n*(31*n + 1)/2.

A024966: 7 times triangular numbers: 7n(n+1)/2.

A034828: a(n) = [n^2/4]*n/2.

A055561: Numbers n such that there are precisely 3 groups of order n.

A079500: Number of compositions of the integer n in which the first part is >= the other parts.

A094416: Array read by antidiagonals: generalized ordered Bell numbers Bo(r,n).

A128396: Numbers n such that n^2 divides 16^n-1.

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