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204395424 = 2532129119
BaseRepresentation
bin11000010111011…
…01001110100000
3112020121100210220
430023231032200
5404311123144
632140523040
75031222012
oct1413551640
9466540726
10204395424
11a5415342
1258550480
1333465b4c
141d2081b2
1512e26919
hexc2ed3a0

204395424 has 24 divisors (see below), whose sum is σ = 536538240. Its totient is φ = 68131776.

The previous prime is 204395423. The next prime is 204395449. The reversal of 204395424 is 424593402.

204395424 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 (24).

It is not an unprimeable number, because it can be changed into a prime (204395423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1064464 + ... + 1064655.

It is an arithmetic number, because the mean of its divisors is an integer number (22355760).

Almost surely, 2204395424 is an apocalyptic number.

204395424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204395424 is an abundant number, since it is smaller than the sum of its proper divisors (332142816).

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

204395424 is a wasteful number, since it uses less digits than its factorization.

204395424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129132 (or 2129124 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 204395424 is about 14296.6927644123. The cubic root of 204395424 is about 589.0566404945.

The spelling of 204395424 in words is "two hundred four million, three hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2129119 4258238 6387357 8516476 12774714 17032952 25549428 34065904 51098856 68131808 102197712 204395424