734114304 has 240 divisors, whose sum is σ = 2642777280. Its totient is φ = 190586880.

The previous prime is 734114273. The next prime is 734114341. The reversal of 734114304 is 403411437.

734114304 is a `hidden beast` number, since 7 + 341 + 14 + 304 = 666.

It is a super-2 number, since 2×734114304² = 1077847622674808832, 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, 353782 + ... + 355850.

It is an arithmetic number, because the mean of its divisors is an integer number (11011572).

Almost surely, 2^734114304 is an apocalyptic number.

734114304 is the 14483-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321388640).

734114304 is an abundant number, since it is smaller than the sum of its proper divisors (1908662976).

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

734114304 is a wasteful number, since it uses less digits than its factorization.

734114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 734114304 is about 27094.5438049804. The cubic root of 734114304 is about 902.0997492124.

The spelling of 734114304 in words is "seven hundred thirty-four million, one hundred fourteen thousand, three hundred four".