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204300320 = 2557792309
BaseRepresentation
bin11000010110101…
…10000000100000
3112020102112100112
430023112000200
5404300102240
632134510452
75030344520
oct1413260040
9466375315
10204300320
11a535a944
1258505428
1333431783
141d1c1680
1512e08665
hexc2d6020

204300320 has 96 divisors (see below), whose sum is σ = 558835200. Its totient is φ = 69129216.

The previous prime is 204300287. The next prime is 204300337. The reversal of 204300320 is 23003402.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 204300295 and 204300304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87326 + ... + 89634.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2204300320 is an apocalyptic number.

204300320 is a gapful number since it is divisible by the number (20) 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 204300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

204300320 is an abundant number, since it is smaller than the sum of its proper divisors (354534880).

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

204300320 is a wasteful number, since it uses less digits than its factorization.

204300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 204300320 is about 14293.3662934943. The cubic root of 204300320 is about 588.9652647799.

Adding to 204300320 its reverse (23003402), we get a palindrome (227303722).

The spelling of 204300320 in words is "two hundred four million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 79 80 112 140 158 160 224 280 316 395 553 560 632 790 1106 1120 1264 1580 2212 2309 2528 2765 3160 4424 4618 5530 6320 8848 9236 11060 11545 12640 16163 17696 18472 22120 23090 32326 36944 44240 46180 64652 73888 80815 88480 92360 129304 161630 182411 184720 258608 323260 364822 369440 517216 646520 729644 912055 1276877 1293040 1459288 1824110 2553754 2586080 2918576 3648220 5107508 5837152 6384385 7296440 10215016 12768770 14592880 20430032 25537540 29185760 40860064 51075080 102150160 204300320