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204342528 = 2831397211
BaseRepresentation
bin11000010111000…
…00010100000000
3112020111200020210
430023200110000
5404302430103
632135434120
75030611545
oct1413402400
9466450223
10204342528
11a5389625
1258525940
1333447a50
141d1d2bcc
1512e15e03
hexc2e0500

204342528 has 144 divisors (see below), whose sum is σ = 594526016. Its totient is φ = 61931520.

The previous prime is 204342521. The next prime is 204342569. The reversal of 204342528 is 825243402.

It is a junction number, because it is equal to n+sod(n) for n = 204342495 and 204342504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204342521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 968343 + ... + 968553.

Almost surely, 2204342528 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 204342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297263008).

204342528 is an abundant number, since it is smaller than the sum of its proper divisors (390183488).

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

204342528 is a wasteful number, since it uses less digits than its factorization.

204342528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 204342528 is about 14294.8427063749. The cubic root of 204342528 is about 589.0058216329.

The spelling of 204342528 in words is "two hundred four million, three hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 97 104 128 156 192 194 208 211 256 291 312 384 388 416 422 582 624 633 768 776 832 844 1164 1248 1261 1266 1552 1664 1688 2328 2496 2522 2532 2743 3104 3328 3376 3783 4656 4992 5044 5064 5486 6208 6752 7566 8229 9312 9984 10088 10128 10972 12416 13504 15132 16458 18624 20176 20256 20467 21944 24832 27008 30264 32916 37248 40352 40512 40934 43888 54016 60528 61401 65832 74496 80704 81024 81868 87776 121056 122802 131664 161408 162048 163736 175552 242112 245604 263328 266071 322816 327472 351104 484224 491208 526656 532142 654944 702208 798213 968448 982416 1053312 1064284 1309888 1596426 1964832 2106624 2128568 2619776 3192852 3929664 4257136 5239552 6385704 7859328 8514272 12771408 15718656 17028544 25542816 34057088 51085632 68114176 102171264 204342528