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328563864 = 23344331171
BaseRepresentation
bin10011100101010…
…111110010011000
3211220020202220000
4103211113302120
51133103020424
652334133000
711066514066
oct2345276230
9756222800
10328563864
11159513992
1292051160
13530bc1b5
14318cb036
151dca23c9
hex13957c98

328563864 has 80 divisors (see below), whose sum is σ = 923196120. Its totient is φ = 109175040.

The previous prime is 328563857. The next prime is 328563869. The reversal of 328563864 is 468365823.

It is a happy number.

328563864 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 638 + 6 + 4 = 666.

It is a super-2 number, since 2×3285638642 = 215908425453220992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328563869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279999 + ... + 281169.

Almost surely, 2328563864 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 328563864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461598060).

328563864 is an abundant number, since it is smaller than the sum of its proper divisors (594632256).

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

328563864 is a wasteful number, since it uses less digits than its factorization.

328563864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1609 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 328563864 is about 18126.3306821872. The cubic root of 328563864 is about 690.0384099601.

The spelling of 328563864 in words is "three hundred twenty-eight million, five hundred sixty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 433 648 866 1171 1299 1732 2342 2598 3464 3513 3897 4684 5196 7026 7794 9368 10392 10539 11691 14052 15588 21078 23382 28104 31176 31617 35073 42156 46764 63234 70146 84312 93528 94851 126468 140292 189702 252936 280584 379404 507043 758808 1014086 1521129 2028172 3042258 4056344 4563387 6084516 9126774 12169032 13690161 18253548 27380322 36507096 41070483 54760644 82140966 109521288 164281932 328563864