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204100434 = 23229715507
BaseRepresentation
bin11000010101001…
…01001101010010
3112020001101011100
430022211031102
5404222203214
632130325230
75025552666
oct1412451522
9466041140
10204100434
11a523374a
1258429816
13333917b5
141d16c8a6
1512db9309
hexc2a5352

204100434 has 48 divisors (see below), whose sum is σ = 463993920. Its totient is φ = 64750560.

The previous prime is 204100427. The next prime is 204100439. The reversal of 204100434 is 434001402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (204100439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34309 + ... + 39815.

It is an arithmetic number, because the mean of its divisors is an integer number (9666540).

Almost surely, 2204100434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204100434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231996960).

204100434 is an abundant number, since it is smaller than the sum of its proper divisors (259893486).

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

204100434 is a wasteful number, since it uses less digits than its factorization.

204100434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5615 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204100434 is about 14286.3723177019. The cubic root of 204100434 is about 588.7731222747.

Adding to 204100434 its reverse (434001402), we get a palindrome (638101836).

The spelling of 204100434 in words is "two hundred four million, one hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 71 87 142 174 213 261 426 522 639 1278 2059 4118 5507 6177 11014 12354 16521 18531 33042 37062 49563 99126 159703 319406 390997 479109 781994 958218 1172991 1437327 2345982 2874654 3518973 7037946 11338913 22677826 34016739 68033478 102050217 204100434