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204320256 = 293731613
BaseRepresentation
bin11000010110110…
…10111000000000
3112020110112200220
430023122320000
5404301222011
632135143040
75030456610
oct1413327000
9466415626
10204320256
11a5373918
1258514a80
133343a87a
141d1c8a40
1512e0e506
hexc2dae00

204320256 has 160 divisors (see below), whose sum is σ = 643196928. Its totient is φ = 56401920.

The previous prime is 204320251. The next prime is 204320257. The reversal of 204320256 is 652023402.

204320256 is digitally balanced in base 3, because in such base 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204320251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333006 + ... + 333618.

Almost surely, 2204320256 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 204320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321598464).

204320256 is an abundant number, since it is smaller than the sum of its proper divisors (438876672).

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

204320256 is an equidigital number, since it uses as much as digits as its factorization.

204320256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 204320256 is about 14294.0636629336. The cubic root of 204320256 is about 588.9844215938.

Adding to 204320256 its reverse (652023402), we get a palindrome (856343658).

The spelling of 204320256 in words is "two hundred four million, three hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 613 651 672 744 768 868 896 992 1226 1302 1344 1488 1536 1736 1792 1839 1984 2452 2604 2688 2976 3472 3584 3678 3968 4291 4904 5208 5376 5952 6944 7356 7936 8582 9808 10416 10752 11904 12873 13888 14712 15872 17164 19003 19616 20832 23808 25746 27776 29424 34328 38006 39232 41664 47616 51492 55552 57009 58848 68656 76012 78464 83328 102984 111104 114018 117696 133021 137312 152024 156928 166656 205968 228036 235392 266042 274624 304048 313856 333312 399063 411936 456072 470784 532084 549248 608096 798126 823872 912144 941568 1064168 1098496 1216192 1596252 1647744 1824288 2128336 2196992 2432384 3192504 3295488 3648576 4256672 4864768 6385008 6590976 7297152 8513344 9729536 12770016 14594304 17026688 25540032 29188608 34053376 51080064 68106752 102160128 204320256