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204668688 = 24372173503
BaseRepresentation
bin11000011001011…
…11111100010000
3112021010020122210
430030233330100
5404343344223
632150432120
75033440500
oct1414577420
9467106583
10204668688
11a5591684
1258662640
1333530343
141d279a00
1512e7c893
hexc32ff10

204668688 has 120 divisors (see below), whose sum is σ = 619835328. Its totient is φ = 58023168.

The previous prime is 204668677. The next prime is 204668693. The reversal of 204668688 is 886866402.

It is a happy number.

204668688 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406645 + ... + 407147.

Almost surely, 2204668688 is an apocalyptic number.

204668688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204668688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309917664).

204668688 is an abundant number, since it is smaller than the sum of its proper divisors (415166640).

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

204668688 is a wasteful number, since it uses less digits than its factorization.

204668688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 204668688 is about 14306.2464678895. The cubic root of 204668688 is about 589.3190343211.

The spelling of 204668688 in words is "two hundred four million, six hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 173 196 294 336 346 392 503 519 588 692 784 1006 1038 1176 1211 1384 1509 2012 2076 2352 2422 2768 3018 3521 3633 4024 4152 4844 6036 7042 7266 8048 8304 8477 9688 10563 12072 14084 14532 16954 19376 21126 24144 24647 25431 28168 29064 33908 42252 49294 50862 56336 58128 67816 73941 84504 87019 98588 101724 135632 147882 169008 174038 197176 203448 261057 295764 348076 394352 406896 522114 591528 609133 696152 1044228 1183056 1218266 1392304 1827399 2088456 2436532 3654798 4176912 4263931 4873064 7309596 8527862 9746128 12791793 14619192 17055724 25583586 29238384 34111448 51167172 68222896 102334344 204668688