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3285945 = 3251341137
BaseRepresentation
bin1100100010001110111001
320011221110200
430202032321
51320122240
6154232413
736634005
oct14421671
96157420
103285945
111944863
121125709
138b0860
14617705
1544d930
hex3223b9

3285945 has 48 divisors (see below), whose sum is σ = 6329232. Its totient is φ = 1566720.

The previous prime is 3285943. The next prime is 3285959. The reversal of 3285945 is 5495823.

3285945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 767376 + 2518569 = 876^2 + 1587^2 .

It is not a de Polignac number, because 3285945 - 21 = 3285943 is a prime.

3285945 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23917 + ... + 24053.

It is an arithmetic number, because the mean of its divisors is an integer number (131859).

Almost surely, 23285945 is an apocalyptic number.

It is an amenable number.

3285945 is a deficient number, since it is larger than the sum of its proper divisors (3043287).

3285945 is a wasteful number, since it uses less digits than its factorization.

3285945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 199 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 3285945 is about 1812.7175731481. The cubic root of 3285945 is about 148.6688892355.

The spelling of 3285945 in words is "three million, two hundred eighty-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 39 41 45 65 117 123 137 195 205 369 411 533 585 615 685 1233 1599 1781 1845 2055 2665 4797 5343 5617 6165 7995 8905 16029 16851 23985 26715 28085 50553 73021 80145 84255 219063 252765 365105 657189 1095315 3285945