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3428525664 = 25333968201
BaseRepresentation
bin1100110001011011…
…0010011001100000
322211221101011001000
43030112302121200
524010200310124
61324113112000
7150650662434
oct31426623140
98757334030
103428525664
1114aa34a093
127b8258600
13428402a15
142474b49c4
15150ede6c9
hexcc5b2660

3428525664 has 48 divisors (see below), whose sum is σ = 9999869040. Its totient is φ = 1142841600.

The previous prime is 3428525647. The next prime is 3428525669. The reversal of 3428525664 is 4665258243.

3428525664 is a `hidden beast` number, since 3 + 4 + 2 + 85 + 2 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428525669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1983237 + ... + 1984964.

It is an arithmetic number, because the mean of its divisors is an integer number (208330605).

Almost surely, 23428525664 is an apocalyptic number.

It is an amenable number.

3428525664 is an abundant number, since it is smaller than the sum of its proper divisors (6571343376).

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

3428525664 is a wasteful number, since it uses less digits than its factorization.

3428525664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968220 (or 3968206 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 3428525664 is about 58553.6135861827. The cubic root of 3428525664 is about 1507.8881731015. Note that the first 3 decimals are identical.

The spelling of 3428525664 in words is "three billion, four hundred twenty-eight million, five hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3968201 7936402 11904603 15872804 23809206 31745608 35713809 47618412 63491216 71427618 95236824 107141427 126982432 142855236 190473648 214282854 285710472 380947296 428565708 571420944 857131416 1142841888 1714262832 3428525664