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204234336 = 25323891823
BaseRepresentation
bin11000010110001…
…01111001100000
3112020022011211200
430023011321200
5404240444321
632133241200
75026651245
oct1413057140
9466264750
10204234336
11a5315309
1258493200
133340a727
141d1a55cc
1512de3d26
hexc2c5e60

204234336 has 72 divisors (see below), whose sum is σ = 582603840. Its totient is φ = 67865856.

The previous prime is 204234307. The next prime is 204234347. The reversal of 204234336 is 633432402.

It is a happy number.

204234336 is a `hidden beast` number, since 204 + 23 + 433 + 6 = 666.

204234336 is digitally balanced in base 3, 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111121 + ... + 112943.

It is an arithmetic number, because the mean of its divisors is an integer number (8091720).

Almost surely, 2204234336 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 204234336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291301920).

204234336 is an abundant number, since it is smaller than the sum of its proper divisors (378369504).

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

204234336 is a wasteful number, since it uses less digits than its factorization.

204234336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 204234336 is about 14291.0579034584. The cubic root of 204234336 is about 588.9018508335.

Adding to 204234336 its reverse (633432402), we get a palindrome (837666738).

The spelling of 204234336 in words is "two hundred four million, two hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 389 778 1167 1556 1823 2334 3112 3501 3646 4668 5469 6224 7002 7292 9336 10938 12448 14004 14584 16407 18672 21876 28008 29168 32814 37344 43752 56016 58336 65628 87504 112032 131256 175008 262512 525024 709147 1418294 2127441 2836588 4254882 5673176 6382323 8509764 11346352 12764646 17019528 22692704 25529292 34039056 51058584 68078112 102117168 204234336