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668430 = 232571061
BaseRepresentation
bin10100011001100001110
31020221220200
42203030032
5132342210
622154330
75452530
oct2431416
91227820
10668430
11417224
122829a6
131a5329
14135850
15d30c0
hexa330e

668430 has 48 divisors (see below), whose sum is σ = 1988064. Its totient is φ = 152640.

The previous prime is 668417. The next prime is 668471. The reversal of 668430 is 34866.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 668394 and 668403.

It is a congruent number.

It is an unprimeable number.

668430 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (41418).

2668430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994032).

668430 is an abundant number, since it is smaller than the sum of its proper divisors (1319634).

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

668430 is a wasteful number, since it uses less digits than its factorization.

668430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 668430 is about 817.5756845699. The cubic root of 668430 is about 87.4349993443.

The spelling of 668430 in words is "six hundred sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1061 2122 3183 5305 6366 7427 9549 10610 14854 15915 19098 22281 31830 37135 44562 47745 66843 74270 95490 111405 133686 222810 334215 668430