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204731340 = 2235111771257
BaseRepresentation
bin11000011001111…
…11001111001100
3112021020102121020
430030333033030
5404402400330
632152034140
75034121242
oct1414771714
9467212536
10204731340
11a5624760
1258692950
1333552a08
141d294792
1512e91210
hexc33f3cc

204731340 has 192 divisors, whose sum is σ = 674085888. Its totient is φ = 45875200.

The previous prime is 204731333. The next prime is 204731341. The reversal of 204731340 is 43137402.

204731340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 204731340.

It is not an unprimeable number, because it can be changed into a prime (204731341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796492 + ... + 796748.

It is an arithmetic number, because the mean of its divisors is an integer number (3510864).

Almost surely, 2204731340 is an apocalyptic number.

204731340 is a gapful number since it is divisible by the number (20) 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 204731340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337042944).

204731340 is an abundant number, since it is smaller than the sum of its proper divisors (469354548).

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

204731340 is a wasteful number, since it uses less digits than its factorization.

204731340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 204731340 is about 14308.4359732292. The cubic root of 204731340 is about 589.3791611692.

Adding to 204731340 its reverse (43137402), we get a palindrome (247868742).

The spelling of 204731340 in words is "two hundred four million, seven hundred thirty-one thousand, three hundred forty".