Search a number
-
+
668323000 = 2353719413
BaseRepresentation
bin100111110101011…
…100110010111000
31201120120022210201
4213311130302320
52332042314000
6150152251544
722363436362
oct4765346270
91646508721
10668323000
11313283a64
121679a0bb4
13a85cacc7
1464a8dd32
153da1696a
hex27d5ccb8

668323000 has 64 divisors (see below), whose sum is σ = 1586070720. Its totient is φ = 263536000.

The previous prime is 668322997. The next prime is 668323021. The reversal of 668323000 is 323866.

It is a self number, because there is not a number n which added to its sum of digits gives 668323000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66294 + ... + 75706.

It is an arithmetic number, because the mean of its divisors is an integer number (24782355).

Almost surely, 2668323000 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 668323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793035360).

668323000 is an abundant number, since it is smaller than the sum of its proper divisors (917747720).

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

668323000 is a wasteful number, since it uses less digits than its factorization.

668323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9505 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 668323000 is about 25851.9438340717. The cubic root of 668323000 is about 874.3033366296.

Adding to 668323000 its reverse (323866), we get a palindrome (668646866).

The spelling of 668323000 in words is "six hundred sixty-eight million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1775 2840 3550 7100 8875 9413 14200 17750 18826 35500 37652 47065 71000 75304 94130 188260 235325 376520 470650 668323 941300 1176625 1336646 1882600 2353250 2673292 3341615 4706500 5346584 6683230 9413000 13366460 16708075 26732920 33416150 66832300 83540375 133664600 167080750 334161500 668323000