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204340320 = 2534515767
BaseRepresentation
bin11000010110111…
…11110001100000
3112020111120020000
430023133301200
5404302342240
632135420000
75030602242
oct1413376140
9466446200
10204340320
11a53879a8
1258524600
1333446a42
141d1d2092
1512e15430
hexc2dfc60

204340320 has 120 divisors (see below), whose sum is σ = 721196784. Its totient is φ = 54487296.

The previous prime is 204340309. The next prime is 204340321. The reversal of 204340320 is 23043402.

204340320 is a `hidden beast` number, since 2 + 0 + 4 + 340 + 320 = 666.

204340320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204340293 and 204340302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204340321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5077 + ... + 20843.

Almost surely, 2204340320 is an apocalyptic number.

204340320 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 204340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360598392).

204340320 is an abundant number, since it is smaller than the sum of its proper divisors (516856464).

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

204340320 is a wasteful number, since it uses less digits than its factorization.

204340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15794 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 204340320 is about 14294.7654755159. The cubic root of 204340320 is about 589.0037001467.

Adding to 204340320 its reverse (23043402), we get a palindrome (227383722).

The spelling of 204340320 in words is "two hundred four million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 15767 31534 47301 63068 78835 94602 126136 141903 157670 189204 236505 252272 283806 315340 378408 425709 473010 504544 567612 630680 709515 756816 851418 946020 1135224 1261360 1277127 1419030 1513632 1702836 1892040 2128545 2270448 2522720 2554254 2838060 3405672 3784080 4257090 4540896 5108508 5676120 6385635 6811344 7568160 8514180 10217016 11352240 12771270 13622688 17028360 20434032 22704480 25542540 34056720 40868064 51085080 68113440 102170160 204340320