734093200 has 120 divisors (see below), whose sum is σ = 1807641000. Its totient is φ = 286433280.

The previous prime is 734093197. The next prime is 734093203. The reversal of 734093200 is 2390437.

734093200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (734093197) and next prime (734093203).

It can be written as a sum of positive squares in 12 ways, for example, as 504631296 + 229461904 = 22464^2 + 15148^2 .

It is not an unprimeable number, because it can be changed into a prime (734093203) 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, 4926726 + ... + 4926874.

It is an arithmetic number, because the mean of its divisors is an integer number (15063675).

Almost surely, 2^734093200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734093200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903820500).

734093200 is an abundant number, since it is smaller than the sum of its proper divisors (1073547800).

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

734093200 is a wasteful number, since it uses less digits than its factorization.

734093200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 734093200 is about 27094.1543510773. The cubic root of 734093200 is about 902.0911047386.

The spelling of 734093200 in words is "seven hundred thirty-four million, ninety-three thousand, two hundred".