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328301028 = 2232114092027
BaseRepresentation
bin10011100100010…
…111100111100100
3211212202102100100
4103210113213210
51133021113103
652324344100
711064340566
oct2344274744
9755672310
10328301028
11159354470
1291b45030
1353029683
143185d336
151dc4e5a3
hex139179e4

328301028 has 72 divisors (see below), whose sum is σ = 907976160. Its totient is φ = 99192960.

The previous prime is 328301023. The next prime is 328301069. The reversal of 328301028 is 820103823.

328301028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 328300992 and 328301010.

It is not an unprimeable number, because it can be changed into a prime (328301021) 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, 160951 + ... + 162977.

It is an arithmetic number, because the mean of its divisors is an integer number (12610780).

Almost surely, 2328301028 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 328301028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453988080).

328301028 is an abundant number, since it is smaller than the sum of its proper divisors (579675132).

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

328301028 is a wasteful number, since it uses less digits than its factorization.

328301028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 328301028 is about 18119.0791156725. The cubic root of 328301028 is about 689.8543611965.

The spelling of 328301028 in words is "three hundred twenty-eight million, three hundred one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 409 818 1227 1636 2027 2454 3681 4054 4499 4908 6081 7362 8108 8998 12162 13497 14724 17996 18243 22297 24324 26994 36486 40491 44594 53988 66891 72972 80982 89188 133782 161964 200673 267564 401346 802692 829043 1658086 2487129 3316172 4974258 7461387 9119473 9948516 14922774 18238946 27358419 29845548 36477892 54716838 82075257 109433676 164150514 328301028