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204063314 = 27132329412
BaseRepresentation
bin11000010100111…
…00001001010010
3112012222111020112
430022130021102
5404220011224
632125441322
75025336530
oct1412341122
9465874215
10204063314
11a5208874
1258410242
133337a930
141d15d150
1512dad30e
hexc29c252

204063314 has 96 divisors (see below), whose sum is σ = 416828160. Its totient is φ = 72737280.

The previous prime is 204063313. The next prime is 204063317. The reversal of 204063314 is 413360402.

It is a happy number.

It is a super-2 number, since 2×2040633142 = 83283672241325192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 204063314.

It is not an unprimeable number, because it can be changed into a prime (204063311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4977134 + ... + 4977174.

It is an arithmetic number, because the mean of its divisors is an integer number (4341960).

Almost surely, 2204063314 is an apocalyptic number.

204063314 is an abundant number, since it is smaller than the sum of its proper divisors (212764846).

204063314 is a wasteful number, since it uses less digits than its factorization.

204063314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 204063314 is about 14285.0731184688. The cubic root of 204063314 is about 588.7374264771.

The spelling of 204063314 in words is "two hundred four million, sixty-three thousand, three hundred fourteen".

Divisors: 1 2 7 13 14 23 26 29 41 46 58 82 91 161 182 203 287 299 322 377 406 533 574 598 667 754 943 1066 1189 1334 1681 1886 2093 2378 2639 3362 3731 4186 4669 5278 6601 7462 8323 8671 9338 11767 12259 13202 15457 16646 17342 21853 23534 24518 27347 30914 38663 43706 48749 54694 60697 77326 85813 97498 108199 121394 152971 171626 191429 216398 270641 305942 341243 355511 382858 502619 541282 633737 682486 711022 1005238 1121227 1267474 2242454 2488577 3518333 4436159 4977154 7036666 7848589 8872318 14575951 15697178 29151902 102031657 204063314