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204313004 = 227171922941
BaseRepresentation
bin11000010110110…
…01000110101100
3112020110011202022
430023121012230
5404301004004
632135045312
75030426510
oct1413310654
9466404668
10204313004
11a5369425
1258510838
133343748c
141d1c6140
1512e0c2be
hexc2d91ac

204313004 has 144 divisors (see below), whose sum is σ = 483900480. Its totient is φ = 73543680.

The previous prime is 204312961. The next prime is 204313009. The reversal of 204313004 is 400313402.

204313004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204313009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4983224 + ... + 4983264.

It is an arithmetic number, because the mean of its divisors is an integer number (3360420).

Almost surely, 2204313004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204313004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241950240).

204313004 is an abundant number, since it is smaller than the sum of its proper divisors (279587476).

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

204313004 is a wasteful number, since it uses less digits than its factorization.

204313004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 204313004 is about 14293.8099889428. The cubic root of 204313004 is about 588.9774531779.

Adding to 204313004 its reverse (400313402), we get a palindrome (604626406).

The spelling of 204313004 in words is "two hundred four million, three hundred thirteen thousand, four".

Divisors: 1 2 4 7 14 17 19 28 29 34 38 41 58 68 76 82 116 119 133 164 203 238 266 287 323 361 406 476 493 532 551 574 646 697 722 779 812 986 1102 1148 1189 1292 1394 1444 1558 1972 2204 2261 2378 2527 2788 3116 3451 3857 4522 4756 4879 5054 5453 6137 6902 7714 8323 9044 9367 9758 10108 10469 10906 12274 13243 13804 14801 15428 16646 18734 19516 20213 20938 21812 22591 24548 26486 29602 33292 37468 40426 41876 42959 45182 52972 59204 65569 73283 80852 85918 90364 92701 103607 131138 141491 146566 158137 171836 177973 185402 207214 251617 262276 282982 293132 316274 355946 370804 384047 414428 429229 503234 565964 632548 711892 768094 858458 1006468 1245811 1536188 1716916 1761319 2491622 2688329 3004603 3522638 4983244 5376658 6009206 7045276 7296893 10753316 12018412 14593786 29187572 51078251 102156502 204313004