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204034314 = 2311329881
BaseRepresentation
bin11000010100101…
…01000100001010
3112012221000110110
430022111010022
5404213044224
632125055150
75025156141
oct1412250412
9465830413
10204034314
11a5199000
12583b74b6
133336a683
141d152758
1512da4929
hexc29510a

204034314 has 64 divisors (see below), whose sum is σ = 464849280. Its totient is φ = 59628800.

The previous prime is 204034307. The next prime is 204034339. The reversal of 204034314 is 413430402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231154 + ... + 232034.

It is an arithmetic number, because the mean of its divisors is an integer number (7263270).

Almost surely, 2204034314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204034314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232424640).

204034314 is an abundant number, since it is smaller than the sum of its proper divisors (260814966).

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

204034314 is a wasteful number, since it uses less digits than its factorization.

204034314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 204034314 is about 14284.0580368465. The cubic root of 204034314 is about 588.7095361230.

Adding to 204034314 its reverse (413430402), we get a palindrome (617464716).

The spelling of 204034314 in words is "two hundred four million, thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 319 363 638 726 881 957 1331 1762 1914 2643 2662 3509 3993 5286 7018 7986 9691 10527 19382 21054 25549 29073 38599 51098 58146 76647 77198 106601 115797 153294 213202 231594 281039 319803 562078 639606 843117 1172611 1686234 2345222 3091429 3517833 6182858 7035666 9274287 18548574 34005719 68011438 102017157 204034314