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204434320 = 2452555429
BaseRepresentation
bin11000010111101…
…10101110010000
3112020200100011111
430023312232100
5404313344240
632141423104
75031443266
oct1413665620
9466610144
10204434320
11a5441592
125856aa94
133347a76c
141d218436
1512e331ea
hexc2f6b90

204434320 has 20 divisors (see below), whose sum is σ = 475309980. Its totient is φ = 81773696.

The previous prime is 204434317. The next prime is 204434339. The reversal of 204434320 is 23434402.

204434320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 79352464 + 125081856 = 8908^2 + 11184^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 204434291 and 204434300.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1277635 + ... + 1277794.

It is an arithmetic number, because the mean of its divisors is an integer number (23765499).

Almost surely, 2204434320 is an apocalyptic number.

204434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204434320 is an abundant number, since it is smaller than the sum of its proper divisors (270875660).

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

204434320 is a wasteful number, since it uses less digits than its factorization.

204434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555442 (or 2555436 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 204434320 is about 14298.0530143093. The cubic root of 204434320 is about 589.0940035193.

Adding to 204434320 its reverse (23434402), we get a palindrome (227868722).

The spelling of 204434320 in words is "two hundred four million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2555429 5110858 10221716 12777145 20443432 25554290 40886864 51108580 102217160 204434320