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328351328 = 25171075641
BaseRepresentation
bin10011100100100…
…011111001100000
3211212211222100022
4103210203321200
51133024220303
652325413012
711064640334
oct2344437140
9755758308
10328351328
11159389238
1291b6a168
1353046536
14318737c4
151dc5e438
hex13923e60

328351328 has 48 divisors (see below), whose sum is σ = 690987024. Its totient is φ = 153047040.

The previous prime is 328351321. The next prime is 328351337. The reversal of 328351328 is 823153823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328351321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55388 + ... + 61028.

It is an arithmetic number, because the mean of its divisors is an integer number (14395563).

Almost surely, 2328351328 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 328351328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345493512).

328351328 is an abundant number, since it is smaller than the sum of its proper divisors (362635696).

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

328351328 is a wasteful number, since it uses less digits than its factorization.

328351328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5767 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 328351328 is about 18120.4671021472. The cubic root of 328351328 is about 689.8895909597.

The spelling of 328351328 in words is "three hundred twenty-eight million, three hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 107 136 214 272 428 544 856 1712 1819 3424 3638 5641 7276 11282 14552 22564 29104 45128 58208 90256 95897 180512 191794 383588 603587 767176 1207174 1534352 2414348 3068704 4828696 9657392 10260979 19314784 20521958 41043916 82087832 164175664 328351328