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204158304 = 253272172337
BaseRepresentation
bin11000010101100…
…11010101100000
3112020011022112200
430022303111200
5404231031204
632131453200
75026213500
oct1412632540
9466138480
10204158304
11a5273179
1258457200
13333b1c3c
141d185a00
1512dcb539
hexc2b3560

204158304 has 432 divisors, whose sum is σ = 766348128. Its totient is φ = 51093504.

The previous prime is 204158303. The next prime is 204158351. The reversal of 204158304 is 403851402.

204158304 is a `hidden beast` number, since 204 + 158 + 304 = 666.

204158304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2041583042 = 83361226184312832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204158303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5517774 + ... + 5517810.

It is an arithmetic number, because the mean of its divisors is an integer number (1773954).

Almost surely, 2204158304 is an apocalyptic number.

204158304 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 204158304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383174064).

204158304 is an abundant number, since it is smaller than the sum of its proper divisors (562189824).

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

204158304 is a wasteful number, since it uses less digits than its factorization.

204158304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 204158304 is about 14288.3975308640. The cubic root of 204158304 is about 588.8287633141.

The spelling of 204158304 in words is "two hundred four million, one hundred fifty-eight thousand, three hundred four".