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668353385 = 57217374337
BaseRepresentation
bin100111110101100…
…100001101101001
31201120121212111002
4213311210031221
52332044302020
6150153044345
722363624100
oct4765441551
91646555432
10668353385
113132a4877
121679b66b5
13a860ba9b
1464a9b037
153da20975
hex27d64369

668353385 has 48 divisors (see below), whose sum is σ = 1014779664. Its totient is φ = 419586048.

The previous prime is 668353381. The next prime is 668353417. The reversal of 668353385 is 583353866.

It can be written as a sum of positive squares in 8 ways, for example, as 802816 + 667550569 = 896^2 + 25837^2 .

It is not a de Polignac number, because 668353385 - 22 = 668353381 is a prime.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (668353381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151937 + ... + 156273.

It is an arithmetic number, because the mean of its divisors is an integer number (21141243).

Almost surely, 2668353385 is an apocalyptic number.

It is an amenable number.

668353385 is a deficient number, since it is larger than the sum of its proper divisors (346426279).

668353385 is a wasteful number, since it uses less digits than its factorization.

668353385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4403 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 47.

The square root of 668353385 is about 25852.5315008028. The cubic root of 668353385 is about 874.3165863627.

The spelling of 668353385 in words is "six hundred sixty-eight million, three hundred fifty-three thousand, three hundred eighty-five".

Divisors: 1 5 7 17 35 37 49 85 119 185 245 259 595 629 833 1295 1813 3145 4165 4337 4403 9065 21685 22015 30359 30821 73729 151795 154105 160469 212513 368645 516103 802345 1062565 1123283 2580515 2727973 3612721 5616415 7862981 13639865 18063605 19095811 39314905 95479055 133670677 668353385