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204362420 = 22529352349
BaseRepresentation
bin11000010111001…
…01001010110100
3112020112200112112
430023211022310
5404304044140
632140110152
75031023543
oct1413451264
9466480475
10204362420
11a53a2569
1258535358
1333453b12
141d1da15a
1512e1bc65
hexc2e52b4

204362420 has 24 divisors (see below), whose sum is σ = 443961000. Its totient is φ = 78925952.

The previous prime is 204362419. The next prime is 204362471. The reversal of 204362420 is 24263402.

It can be written as a sum of positive squares in 4 ways, for example, as 33223696 + 171138724 = 5764^2 + 13082^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 175595 + ... + 176754.

It is an arithmetic number, because the mean of its divisors is an integer number (18498375).

Almost surely, 2204362420 is an apocalyptic number.

204362420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204362420 is an abundant number, since it is smaller than the sum of its proper divisors (239598580).

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

204362420 is a wasteful number, since it uses less digits than its factorization.

204362420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352387 (or 352385 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 204362420 is about 14295.5384648498. The cubic root of 204362420 is about 589.0249335358.

The spelling of 204362420 in words is "two hundred four million, three hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 352349 704698 1409396 1761745 3523490 7046980 10218121 20436242 40872484 51090605 102181210 204362420