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204043400 = 235211163569
BaseRepresentation
bin11000010100101…
…11010010001000
3112012221110220222
430022113102020
5404213342100
632125205212
75025224501
oct1412272210
9465843828
10204043400
11a51a4910
1258400808
1333371852
141d155ba8
1512da7485
hexc297488

204043400 has 96 divisors (see below), whose sum is σ = 521618400. Its totient is φ = 73612800.

The previous prime is 204043393. The next prime is 204043409. The reversal of 204043400 is 4340402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204043409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358316 + ... + 358884.

It is an arithmetic number, because the mean of its divisors is an integer number (5433525).

Almost surely, 2204043400 is an apocalyptic number.

204043400 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 204043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260809200).

204043400 is an abundant number, since it is smaller than the sum of its proper divisors (317575000).

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

204043400 is a wasteful number, since it uses less digits than its factorization.

204043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 204043400 is about 14284.3760801794. The cubic root of 204043400 is about 588.7182747437.

Adding to 204043400 its reverse (4340402), we get a palindrome (208383802).

The spelling of 204043400 in words is "two hundred four million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 163 200 220 275 326 440 550 569 652 815 1100 1138 1304 1630 1793 2200 2276 2845 3260 3586 4075 4552 5690 6259 6520 7172 8150 8965 11380 12518 14225 14344 16300 17930 22760 25036 28450 31295 32600 35860 44825 50072 56900 62590 71720 89650 92747 113800 125180 156475 179300 185494 250360 312950 358600 370988 463735 625900 741976 927470 1020217 1251800 1854940 2040434 2318675 3709880 4080868 4637350 5101085 8161736 9274700 10202170 18549400 20404340 25505425 40808680 51010850 102021700 204043400