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3328728 = 2331347227
BaseRepresentation
bin1100101100101011011000
320021010011020
430230223120
51323004403
6155202440
740202514
oct14545330
96233136
103328728
111973a17
121146420
138c7180
14629144
1545b453
hex32cad8

3328728 has 64 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 998016.

The previous prime is 3328723. The next prime is 3328729. The reversal of 3328728 is 8278233.

It is a happy number.

3328728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33287282 = 22160860195968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328723) 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 15 ways as a sum of consecutive naturals, for example, 14551 + ... + 14777.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 23328728 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 3328728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3328728 is an abundant number, since it is smaller than the sum of its proper divisors (5864232).

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

3328728 is a wasteful number, since it uses less digits than its factorization.

3328728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 292 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 3328728 is about 1824.4801999474. The cubic root of 3328728 is about 149.3113319699.

The spelling of 3328728 in words is "three million, three hundred twenty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 227 282 312 376 454 564 611 681 908 1128 1222 1362 1816 1833 2444 2724 2951 3666 4888 5448 5902 7332 8853 10669 11804 14664 17706 21338 23608 32007 35412 42676 64014 70824 85352 128028 138697 256056 277394 416091 554788 832182 1109576 1664364 3328728