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328441652 = 227113141839
BaseRepresentation
bin10011100100111…
…001111100110100
3211220000120020122
4103210321330310
51133040113102
652331351112
711065464560
oct2344717464
9756016218
10328441652
11159440090
1291bb2498
1353078696
14318986a0
151dc7b0a2
hex13939f34

328441652 has 96 divisors (see below), whose sum is σ = 758661120. Its totient is φ = 120672000.

The previous prime is 328441651. The next prime is 328441661. The reversal of 328441652 is 256144823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328441651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391049 + ... + 391887.

It is an arithmetic number, because the mean of its divisors is an integer number (7902720).

Almost surely, 2328441652 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 328441652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379330560).

328441652 is an abundant number, since it is smaller than the sum of its proper divisors (430219468).

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

328441652 is a wasteful number, since it uses less digits than its factorization.

328441652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 931 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 328441652 is about 18122.9592506301. The cubic root of 328441652 is about 689.9528442184.

The spelling of 328441652 in words is "three hundred twenty-eight million, four hundred forty-one thousand, six hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 31 41 44 62 77 82 124 154 164 217 287 308 341 434 451 574 682 839 868 902 1148 1271 1364 1678 1804 2387 2542 3157 3356 4774 5084 5873 6314 8897 9229 9548 11746 12628 13981 17794 18458 23492 26009 27962 34399 35588 36916 52018 55924 64603 68798 97867 104036 129206 137596 182063 195734 240793 258412 286099 364126 378389 391468 481586 572198 728252 756778 963172 1066369 1144396 1513556 2002693 2132738 2648723 4005386 4265476 5297446 7464583 8010772 10594892 11730059 14929166 23460118 29858332 46920236 82110413 164220826 328441652