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204314313 = 371723149167
BaseRepresentation
bin11000010110110…
…01011011001001
3112020110020112210
430023121123021
5404301024223
632135055333
75030433360
oct1413313311
9466406483
10204314313
11a536a405
1258511549
1333437c58
141d1c67d7
1512e0c893
hexc2d96c9

204314313 has 64 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 103775232.

The previous prime is 204314291. The next prime is 204314323. The reversal of 204314313 is 313413402.

204314313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204314313 - 225 = 170759881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 204314313.

It is not an unprimeable number, because it can be changed into a prime (204314323) 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, 1223356 + ... + 1223522.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2204314313 is an apocalyptic number.

204314313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

204314313 is a deficient number, since it is larger than the sum of its proper divisors (144050487).

204314313 is a wasteful number, since it uses less digits than its factorization.

204314313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 204314313 is about 14293.8557779208. The cubic root of 204314313 is about 588.9787110026.

Adding to 204314313 its reverse (313413402), we get a palindrome (517727715).

The spelling of 204314313 in words is "two hundred four million, three hundred fourteen thousand, three hundred thirteen".

Divisors: 1 3 7 17 21 23 51 69 119 149 161 167 357 391 447 483 501 1043 1169 1173 2533 2737 2839 3129 3427 3507 3841 7599 8211 8517 10281 11523 17731 19873 23989 24883 26887 53193 58259 59619 65297 71967 74649 80661 174181 174777 195891 407813 423011 457079 522543 572309 1223439 1269033 1371237 1716927 2961077 4006163 8883231 9729253 12018489 29187759 68104771 204314313