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3285659328 = 26372349241
BaseRepresentation
bin1100001111010111…
…0010111011000000
322110222112210021020
43003311302323000
523212112044303
61302011025440
7144264433500
oct30365627300
98428483236
103285659328
11143673a536
1277843b280
13404930b23
14232525a00
151436bda53
hexc3d72ec0

3285659328 has 84 divisors (see below), whose sum is σ = 10112651352. Its totient is φ = 938757120.

The previous prime is 3285659327. The next prime is 3285659329. The reversal of 3285659328 is 8239565823.

3285659328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3285659327) and next prime (3285659329).

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×32856593283 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3285659323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165213 + ... + 184028.

Almost surely, 23285659328 is an apocalyptic number.

It is an amenable number.

3285659328 is an abundant number, since it is smaller than the sum of its proper divisors (6826992024).

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

3285659328 is a wasteful number, since it uses less digits than its factorization.

3285659328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349270 (or 349253 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The square root of 3285659328 is about 57320.6710358488. The cubic root of 3285659328 is about 1486.6458080776.

The spelling of 3285659328 in words is "three billion, two hundred eighty-five million, six hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 349241 698482 1047723 1396964 2095446 2444687 2793928 4190892 4889374 5587856 7334061 8381784 9778748 11175712 14668122 16763568 17112809 19557496 22351424 29336244 33527136 34225618 39114992 51338427 58672488 67054272 68451236 78229984 102676854 117344976 136902472 156459968 205353708 234689952 273804944 410707416 469379904 547609888 821414832 1095219776 1642829664 3285659328