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204342348 = 22372537983
BaseRepresentation
bin11000010111000…
…00010001001100
3112020111200000010
430023200101030
5404302423343
632135433220
75030611200
oct1413402114
9466450003
10204342348
11a5389481
1258525810
1333447942
141d1d2b00
1512e15d33
hexc2e044c

204342348 has 144 divisors (see below), whose sum is σ = 579156480. Its totient is φ = 55875456.

The previous prime is 204342343. The next prime is 204342349. The reversal of 204342348 is 843243402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204342343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2461915 + ... + 2461997.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2204342348 is an apocalyptic number.

204342348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204342348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

204342348 is an abundant number, since it is smaller than the sum of its proper divisors (374814132).

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

204342348 is a wasteful number, since it uses less digits than its factorization.

204342348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 204342348 is about 14294.8364103966. The cubic root of 204342348 is about 589.0056486862.

The spelling of 204342348 in words is "two hundred four million, three hundred forty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 79 83 84 98 106 147 158 159 166 196 212 237 249 294 316 318 332 371 474 498 553 581 588 636 742 948 996 1106 1113 1162 1484 1659 1743 2212 2226 2324 2597 3318 3486 3871 4067 4187 4399 4452 5194 6557 6636 6972 7742 7791 8134 8374 8798 10388 11613 12201 12561 13114 13197 15484 15582 16268 16748 17596 19671 23226 24402 25122 26228 26394 29309 30793 31164 39342 45899 46452 48804 50244 52788 58618 61586 78684 87927 91798 92379 117236 123172 137697 175854 183596 184758 205163 215551 275394 321293 347521 351708 369516 410326 431102 550788 615489 642586 646653 695042 820652 862204 963879 1042563 1230978 1285172 1293306 1390084 1927758 2085126 2432647 2461956 2586612 3855516 4170252 4865294 7297941 9730588 14595882 17028529 29191764 34057058 51085587 68114116 102171174 204342348