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204356313 = 3276193
BaseRepresentation
bin11000010111000…
…11101011011001
3112020112101011100
430023203223121
5404303400223
632140022013
75031000000
oct1413435331
9466471140
10204356313
11a5398a17
1258531909
13334510c5
141d1d7c37
1512e1a043
hexc2e3ad9

204356313 has 42 divisors (see below), whose sum is σ = 346162154. Its totient is φ = 116169984.

The previous prime is 204356297. The next prime is 204356333. The reversal of 204356313 is 313653402.

It is a happy number.

204356313 is a `hidden beast` number, since 20 + 4 + 3 + 5 + 631 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 152473104 + 51883209 = 12348^2 + 7203^2 .

It is not a de Polignac number, because 204356313 - 24 = 204356297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204356333) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1058745 + ... + 1058937.

Almost surely, 2204356313 is an apocalyptic number.

It is an amenable number.

204356313 is a deficient number, since it is larger than the sum of its proper divisors (141805841).

204356313 is an frugal number, since it uses more digits than its factorization.

204356313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 204356313 is about 14295.3248651438. The cubic root of 204356313 is about 589.0190661636.

The spelling of 204356313 in words is "two hundred four million, three hundred fifty-six thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 49 63 147 193 343 441 579 1029 1351 1737 2401 3087 4053 7203 9457 12159 16807 21609 28371 50421 66199 85113 117649 151263 198597 352947 463393 595791 1058841 1390179 3243751 4170537 9731253 22706257 29193759 68118771 204356313