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328678944 = 25311409761
BaseRepresentation
bin10011100101110…
…011111000100000
3211220110121202020
4103211303320200
51133120211234
652340421440
711100503436
oct2345637040
9756417666
10328678944
111595923a0
12920a7880
135312c6a9
143191ad56
151dcc6549
hex13973e20

328678944 has 96 divisors (see below), whose sum is σ = 944758080. Its totient is φ = 99225600.

The previous prime is 328678913. The next prime is 328678949. The reversal of 328678944 is 449876823.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (328678949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431524 + ... + 432284.

It is an arithmetic number, because the mean of its divisors is an integer number (9841230).

Almost surely, 2328678944 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 328678944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472379040).

328678944 is an abundant number, since it is smaller than the sum of its proper divisors (616079136).

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

328678944 is a wasteful number, since it uses less digits than its factorization.

328678944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1186 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 328678944 is about 18129.5047919131. The cubic root of 328678944 is about 690.1189628953.

The spelling of 328678944 in words is "three hundred twenty-eight million, six hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 409 528 761 818 1056 1227 1522 1636 2283 2454 3044 3272 4499 4566 4908 6088 6544 8371 8998 9132 9816 12176 13088 13497 16742 17996 18264 19632 24352 25113 26994 33484 35992 36528 39264 50226 53988 66968 71984 73056 100452 107976 133936 143968 200904 215952 267872 311249 401808 431904 622498 803616 933747 1244996 1867494 2489992 3423739 3734988 4979984 6847478 7469976 9959968 10271217 13694956 14939952 20542434 27389912 29879904 41084868 54779824 82169736 109559648 164339472 328678944