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204311400 = 23352340519
BaseRepresentation
bin11000010110110…
…00101101101000
3112020110002112220
430023120231220
5404300431100
632135034040
75030422026
oct1413305550
9466402486
10204311400
11a53681a7
125850b920
1333436827
141d1c5716
1512e0baa0
hexc2d8b68

204311400 has 48 divisors (see below), whose sum is σ = 633367200. Its totient is φ = 54482880.

The previous prime is 204311383. The next prime is 204311407. The reversal of 204311400 is 4113402.

204311400 is digitally balanced in base 3, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204311400.

It is not an unprimeable number, because it can be changed into a prime (204311407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169660 + ... + 170859.

It is an arithmetic number, because the mean of its divisors is an integer number (13195150).

Almost surely, 2204311400 is an apocalyptic number.

204311400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204311400 is an abundant number, since it is smaller than the sum of its proper divisors (429055800).

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

204311400 is a wasteful number, since it uses less digits than its factorization.

204311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340538 (or 340529 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 204311400 is about 14293.7538806291. The cubic root of 204311400 is about 588.9759118788.

Adding to 204311400 its reverse (4113402), we get a palindrome (208424802).

The spelling of 204311400 in words is "two hundred four million, three hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 340519 681038 1021557 1362076 1702595 2043114 2724152 3405190 4086228 5107785 6810380 8172456 8512975 10215570 13620760 17025950 20431140 25538925 34051900 40862280 51077850 68103800 102155700 204311400