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328428984 = 2331317193259
BaseRepresentation
bin10011100100110…
…110110110111000
3211212222220212110
4103210312312320
51133034211414
652331212320
711065412622
oct2344666670
9755886773
10328428984
11159431614
1291ba70a0
13530729a0
1431893c12
151dc77459
hex13936db8

328428984 has 128 divisors (see below), whose sum is σ = 985824000. Its totient is φ = 90077184.

The previous prime is 328428959. The next prime is 328429019. The reversal of 328428984 is 489824823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99147 + ... + 102405.

It is an arithmetic number, because the mean of its divisors is an integer number (7701750).

Almost surely, 2328428984 is an apocalyptic number.

328428984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328428984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492912000).

328428984 is an abundant number, since it is smaller than the sum of its proper divisors (657395016).

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

328428984 is a wasteful number, since it uses less digits than its factorization.

328428984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3313 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 328428984 is about 18122.6097458396. The cubic root of 328428984 is about 689.9439736068.

The spelling of 328428984 in words is "three hundred twenty-eight million, four hundred twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 17 19 24 26 34 38 39 51 52 57 68 76 78 102 104 114 136 152 156 204 221 228 247 312 323 408 442 456 494 646 663 741 884 969 988 1292 1326 1482 1768 1938 1976 2584 2652 2964 3259 3876 4199 5304 5928 6518 7752 8398 9777 12597 13036 16796 19554 25194 26072 33592 39108 42367 50388 55403 61921 78216 84734 100776 110806 123842 127101 166209 169468 185763 221612 247684 254202 332418 338936 371526 443224 495368 508404 664836 720239 743052 804973 1016808 1052657 1329672 1440478 1486104 1609946 2105314 2160717 2414919 2880956 3157971 3219892 4210628 4321434 4829838 5761912 6315942 6439784 8421256 8642868 9659676 12631884 13684541 17285736 19319352 25263768 27369082 41053623 54738164 82107246 109476328 164214492 328428984