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204131304 = 2332134672
BaseRepresentation
bin11000010101011…
…00101111101000
3112020002221111200
430022230233220
5404224200204
632131124200
75026041666
oct1412545750
9466087450
10204131304
11a5254963
1258443660
13333a2870
141d179c36
1512dc3539
hexc2acbe8

204131304 has 72 divisors (see below), whose sum is σ = 596660610. Its totient is φ = 62675136.

The previous prime is 204131303. The next prime is 204131309. The reversal of 204131304 is 403131402.

204131304 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 can be written as a sum of positive squares in only one way, i.e., 196280100 + 7851204 = 14010^2 + 2802^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (204131303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 436879 + ... + 437345.

Almost surely, 2204131304 is an apocalyptic number.

204131304 is a gapful number since it is divisible by the number (24) 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 204131304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298330305).

204131304 is an abundant number, since it is smaller than the sum of its proper divisors (392529306).

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

204131304 is a wasteful number, since it uses less digits than its factorization.

204131304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 204131304 is about 14287.4526770870. The cubic root of 204131304 is about 588.8028045732.

Adding to 204131304 its reverse (403131402), we get a palindrome (607262706).

The spelling of 204131304 in words is "two hundred four million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 467 468 934 936 1401 1868 2802 3736 4203 5604 6071 8406 11208 12142 16812 18213 24284 33624 36426 48568 54639 72852 109278 145704 218089 218556 436178 437112 654267 872356 1308534 1744712 1962801 2617068 2835157 3925602 5234136 5670314 7851204 8505471 11340628 15702408 17010942 22681256 25516413 34021884 51032826 68043768 102065652 204131304