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204340 = 22517601
BaseRepresentation
bin110001111000110100
3101101022011
4301320310
523014330
64214004
71510513
oct617064
9341264
10204340
1112a584
129a304
1372016
145467a
154082a
hex31e34

204340 has 24 divisors (see below), whose sum is σ = 455112. Its totient is φ = 76800.

The previous prime is 204331. The next prime is 204353. The reversal of 204340 is 43402.

204340 = T41 + T42 + ... + T108.

204340 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 4 ways, for example, as 76176 + 128164 = 276^2 + 358^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40 + ... + 640.

It is an arithmetic number, because the mean of its divisors is an integer number (18963).

2204340 is an apocalyptic number.

204340 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 204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227556).

204340 is an abundant number, since it is smaller than the sum of its proper divisors (250772).

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

204340 is a wasteful number, since it uses less digits than its factorization.

204340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 204340 is about 452.0398212547. The cubic root of 204340 is about 58.9003392684.

Adding to 204340 its reverse (43402), we get a palindrome (247742).

The spelling of 204340 in words is "two hundred four thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 601 1202 2404 3005 6010 10217 12020 20434 40868 51085 102170 204340