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668032 = 2717307
BaseRepresentation
bin10100011000110000000
31020221100221
42203012000
5132334112
622152424
75451421
oct2430600
91227327
10668032
114169a2
12282714
131a50b1
14135648
15d2e07
hexa3180

668032 has 32 divisors (see below), whose sum is σ = 1413720. Its totient is φ = 313344.

The previous prime is 668029. The next prime is 668033. The reversal of 668032 is 230866.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 667988 and 668006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2023 + ... + 2329.

2668032 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 668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706860).

668032 is an abundant number, since it is smaller than the sum of its proper divisors (745688).

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

668032 is a wasteful number, since it uses less digits than its factorization.

668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 668032 is about 817.3322457850. The cubic root of 668032 is about 87.4176422345.

Adding to 668032 its reverse (230866), we get a palindrome (898898).

The spelling of 668032 in words is "six hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 307 544 614 1088 1228 2176 2456 4912 5219 9824 10438 19648 20876 39296 41752 83504 167008 334016 668032