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204352434 = 2321113231197
BaseRepresentation
bin11000010111000…
…10101110110010
3112020112011211200
430023202232302
5404303234214
632135552030
75030652456
oct1413425662
9466464750
10204352434
11a5396010
125852b616
133344c400
141d1d6666
1512e18d09
hexc2e2bb2

204352434 has 144 divisors (see below), whose sum is σ = 542640384. Its totient is φ = 55036800.

The previous prime is 204352433. The next prime is 204352441. The reversal of 204352434 is 434253402.

204352434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 204352398 and 204352407.

It is not an unprimeable number, because it can be changed into a prime (204352433) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1037224 + ... + 1037420.

It is an arithmetic number, because the mean of its divisors is an integer number (3768336).

Almost surely, 2204352434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204352434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271320192).

204352434 is an abundant number, since it is smaller than the sum of its proper divisors (338287950).

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

204352434 is a wasteful number, since it uses less digits than its factorization.

204352434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 204352434 is about 14295.1891907732. The cubic root of 204352434 is about 589.0153393080.

The spelling of 204352434 in words is "two hundred four million, three hundred fifty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 31 33 39 62 66 78 93 99 117 143 169 186 197 198 234 279 286 338 341 394 403 429 507 558 591 682 806 858 1014 1023 1182 1209 1287 1521 1773 1859 2046 2167 2418 2561 2574 3042 3069 3546 3627 3718 4334 4433 5122 5239 5577 6107 6138 6501 7254 7683 8866 10478 11154 12214 13002 13299 15366 15717 16731 18321 19503 23049 26598 28171 31434 33293 33462 36642 39006 39897 46098 47151 54963 56342 57629 66586 67177 79391 79794 84513 94302 99879 109926 115258 134354 158782 169026 172887 199758 201531 238173 253539 299637 345774 366223 403062 476346 507078 518661 599274 604593 714519 732446 873301 1032083 1037322 1098669 1209186 1429038 1746602 2064166 2197338 2619903 3096249 3296007 5239806 6192498 6592014 7859709 9288747 11352913 15719418 18577494 22705826 34058739 68117478 102176217 204352434