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327897664 = 26293141139
BaseRepresentation
bin10011100010110…
…101001001000000
3211211222221000221
4103202311021000
51132420211124
652311552424
711061040603
oct2342651100
9754887027
10327897664
111590a9406
129198b714
1352c17bb3
143179633a
151dbbece4
hex138b5240

327897664 has 112 divisors (see below), whose sum is σ = 716889600. Its totient is φ = 148377600.

The previous prime is 327897601. The next prime is 327897679. The reversal of 327897664 is 466798723.

Its product of digits (3048192) is a multiple of the sum of its prime factors (252).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2358907 + ... + 2359045.

It is an arithmetic number, because the mean of its divisors is an integer number (6400800).

Almost surely, 2327897664 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 327897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358444800).

327897664 is an abundant number, since it is smaller than the sum of its proper divisors (388991936).

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

327897664 is a wasteful number, since it uses less digits than its factorization.

327897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 52.

The square root of 327897664 is about 18107.9447757055. The cubic root of 327897664 is about 689.5717176975.

The spelling of 327897664 in words is "three hundred twenty-seven million, eight hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 31 32 41 58 62 64 82 116 124 139 164 232 248 278 328 464 496 556 656 899 928 992 1112 1189 1271 1312 1798 1856 1984 2224 2378 2542 2624 3596 4031 4309 4448 4756 5084 5699 7192 8062 8618 8896 9512 10168 11398 14384 16124 17236 19024 20336 22796 28768 32248 34472 36859 38048 40672 45592 57536 64496 68944 73718 76096 81344 91184 124961 128992 137888 147436 165271 176669 182368 249922 257984 275776 294872 330542 353338 364736 499844 589744 661084 706676 999688 1179488 1322168 1413352 1999376 2358976 2644336 2826704 3998752 5123401 5288672 5653408 7997504 10246802 10577344 11306816 20493604 40987208 81974416 163948832 327897664