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3225768 = 2337213211
BaseRepresentation
bin1100010011100010101000
320001212220220
430103202220
51311211033
6153050040
736263400
oct14234250
96055826
103225768
111903627
1210b6920
1388c350
145dd800
1543abb3
hex3138a8

3225768 has 96 divisors (see below), whose sum is σ = 10150560. Its totient is φ = 846720.

The previous prime is 3225749. The next prime is 3225769. The reversal of 3225768 is 8675223.

It is not an unprimeable number, because it can be changed into a prime (3225769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15183 + ... + 15393.

It is an arithmetic number, because the mean of its divisors is an integer number (105735).

Almost surely, 23225768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075280).

3225768 is an abundant number, since it is smaller than the sum of its proper divisors (6924792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3225768 is a wasteful number, since it uses less digits than its factorization.

3225768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 3225768 is about 1796.0423157598. The cubic root of 3225768 is about 147.7557451507.

It can be divided in two parts, 3225 and 768, that added together give a palindrome (3993).

The spelling of 3225768 in words is "three million, two hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 211 273 294 312 364 392 422 546 588 633 637 728 844 1092 1176 1266 1274 1477 1688 1911 2184 2532 2548 2743 2954 3822 4431 5064 5096 5486 5908 7644 8229 8862 10339 10972 11816 15288 16458 17724 19201 20678 21944 31017 32916 35448 38402 41356 57603 62034 65832 76804 82712 115206 124068 134407 153608 230412 248136 268814 403221 460824 537628 806442 1075256 1612884 3225768