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204661368 = 233217271617
BaseRepresentation
bin11000011001011…
…10001001111000
3112021002212121200
430030232021320
5404343130433
632150334200
75033410242
oct1414561170
9467085550
10204661368
11a558712a
125865a360
1333529c02
141d277092
1512e7a613
hexc32e278

204661368 has 96 divisors (see below), whose sum is σ = 590016960. Its totient is φ = 63866880.

The previous prime is 204661363. The next prime is 204661399. The reversal of 204661368 is 863166402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204661363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331396 + ... + 332012.

It is an arithmetic number, because the mean of its divisors is an integer number (6146010).

Almost surely, 2204661368 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 204661368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295008480).

204661368 is an abundant number, since it is smaller than the sum of its proper divisors (385355592).

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

204661368 is a wasteful number, since it uses less digits than its factorization.

204661368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 204661368 is about 14305.9906332976. The cubic root of 204661368 is about 589.3120085489.

The spelling of 204661368 in words is "two hundred four million, six hundred sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 271 306 408 542 612 617 813 1084 1224 1234 1626 1851 2168 2439 2468 3252 3702 4607 4878 4936 5553 6504 7404 9214 9756 10489 11106 13821 14808 18428 19512 20978 22212 27642 31467 36856 41463 41956 44424 55284 62934 82926 83912 94401 110568 125868 165852 167207 188802 251736 331704 334414 377604 501621 668828 755208 1003242 1337656 1504863 2006484 2842519 3009726 4012968 5685038 6019452 8527557 11370076 12038904 17055114 22740152 25582671 34110228 51165342 68220456 102330684 204661368