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204234300 = 2232521491523
BaseRepresentation
bin11000010110001…
…01111000111100
3112020022011210100
430023011320330
5404240444200
632133241100
75026651164
oct1413057074
9466264710
10204234300
11a5315286
1258493190
133340a6ca
141d1a55a4
1512de3d00
hexc2c5e3c

204234300 has 108 divisors (see below), whose sum is σ = 644880600. Its totient is φ = 54061440.

The previous prime is 204234299. The next prime is 204234307. The reversal of 204234300 is 3432402.

204234300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204234307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133339 + ... + 134861.

Almost surely, 2204234300 is an apocalyptic number.

204234300 is a gapful number since it is divisible by the number (20) 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 204234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322440300).

204234300 is an abundant number, since it is smaller than the sum of its proper divisors (440646300).

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

204234300 is a wasteful number, since it uses less digits than its factorization.

204234300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 204234300 is about 14291.0566439294. The cubic root of 204234300 is about 588.9018162319.

Adding to 204234300 its reverse (3432402), we get a palindrome (207666702).

The spelling of 204234300 in words is "two hundred four million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 149 150 180 225 298 300 447 450 596 745 894 900 1341 1490 1523 1788 2235 2682 2980 3046 3725 4470 4569 5364 6092 6705 7450 7615 8940 9138 11175 13410 13707 14900 15230 18276 22350 22845 26820 27414 30460 33525 38075 44700 45690 54828 67050 68535 76150 91380 114225 134100 137070 152300 226927 228450 274140 342675 453854 456900 680781 685350 907708 1134635 1361562 1370700 2042343 2269270 2723124 3403905 4084686 4538540 5673175 6807810 8169372 10211715 11346350 13615620 17019525 20423430 22692700 34039050 40846860 51058575 68078100 102117150 204234300