734634000 has 120 divisors (see below), whose sum is σ = 2565894552. Its totient is φ = 195897600.

The previous prime is 734633981. The next prime is 734634049. The reversal of 734634000 is 436437.

It can be written as a sum of positive squares in 4 ways, for example, as 19820304 + 714813696 = 4452^2 + 26736^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×734634000² = 1079374227912000000, which contains 22 as substring.

It is an unprimeable number.

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, 2407 + ... + 38406.

Almost surely, 2^734634000 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 734634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282947276).

734634000 is an abundant number, since it is smaller than the sum of its proper divisors (1831260552).

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

734634000 is a wasteful number, since it uses less digits than its factorization.

734634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40842 (or 40823 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 734634000 is about 27104.1325262403. The cubic root of 734634000 is about 902.3125712227.

The spelling of 734634000 in words is "seven hundred thirty-four million, six hundred thirty-four thousand".