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668034585 = 32519781327
BaseRepresentation
bin100111110100010…
…110011000011001
31201120000200011200
4213310112120121
52332004101320
6150142144413
722361125461
oct4764263031
91646020150
10668034585
113130a72a9
12167882109
13a852994a
1464a16ba1
153d9ab290
hex27d16619

668034585 has 24 divisors (see below), whose sum is σ = 1218871680. Its totient is φ = 337532832.

The previous prime is 668034583. The next prime is 668034589. The reversal of 668034585 is 585430866.

668034585 is a `hidden beast` number, since 6 + 68 + 0 + 3 + 4 + 585 = 666.

668034585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 668034585 - 21 = 668034583 is a prime.

It is a super-2 number, since 2×6680345852 = 892540413512244450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 668034585.

It is not an unprimeable number, because it can be changed into a prime (668034583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389809 + ... + 391518.

It is an arithmetic number, because the mean of its divisors is an integer number (50786320).

Almost surely, 2668034585 is an apocalyptic number.

It is an amenable number.

668034585 is a deficient number, since it is larger than the sum of its proper divisors (550837095).

668034585 is a wasteful number, since it uses less digits than its factorization.

668034585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781357 (or 781354 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 668034585 is about 25846.3650248928. The cubic root of 668034585 is about 874.1775499071.

The spelling of 668034585 in words is "six hundred sixty-eight million, thirty-four thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 781327 2343981 3906635 7031943 11719905 14845213 35159715 44535639 74226065 133606917 222678195 668034585