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204427314 = 2347313283
BaseRepresentation
bin11000010111101…
…01000000110010
3112020122222120000
430023311000302
5404313133224
632141330430
75031414000
oct1413650062
9466588500
10204427314
11a54372a3
1258566a16
1333477510
141d215a70
1512e310c9
hexc2f5032

204427314 has 160 divisors (see below), whose sum is σ = 577315200. Its totient is φ = 53724384.

The previous prime is 204427313. The next prime is 204427367. The reversal of 204427314 is 413724402.

204427314 is a `hidden beast` number, since 204 + 427 + 31 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (204427313) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 722217 + ... + 722499.

It is an arithmetic number, because the mean of its divisors is an integer number (3608220).

Almost surely, 2204427314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204427314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288657600).

204427314 is an abundant number, since it is smaller than the sum of its proper divisors (372887886).

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

204427314 is a wasteful number, since it uses less digits than its factorization.

204427314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 204427314 is about 14297.8080138181. The cubic root of 204427314 is about 589.0872739908.

The spelling of 204427314 in words is "two hundred four million, four hundred twenty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 273 283 294 343 351 378 441 546 566 567 637 686 702 819 849 882 1029 1053 1134 1274 1323 1638 1698 1911 1981 2058 2106 2457 2547 2646 3087 3679 3822 3962 3969 4459 4914 5094 5733 5943 6174 7358 7371 7641 7938 8918 9261 11037 11466 11886 13377 13867 14742 15282 17199 17829 18522 22074 22923 25753 26754 27734 27783 33111 34398 35658 40131 41601 45846 51506 51597 53487 55566 66222 77259 80262 83202 97069 99333 103194 106974 120393 124803 154518 160461 180271 194138 198666 231777 240786 249606 291207 297999 320922 360542 361179 374409 463554 540813 582414 595998 695331 722358 748818 873621 1081626 1123227 1261897 1390662 1622439 1747242 2085993 2246454 2523794 2620863 3244878 3785691 4171986 4867317 5241726 7571382 7862589 9734634 11357073 14601951 15725178 22714146 29203902 34071219 68142438 102213657 204427314