734328144 has 120 divisors (see below), whose sum is σ = 2284487712. Its totient is φ = 218300160.

The previous prime is 734328113. The next prime is 734328149. The reversal of 734328144 is 441823437.

734328144 is digitally balanced in base 2, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 734328099 and 734328108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734328149) 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, 79579 + ... + 88325.

Almost surely, 2^734328144 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 734328144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142243856).

734328144 is an abundant number, since it is smaller than the sum of its proper divisors (1550159568).

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

734328144 is a wasteful number, since it uses less digits than its factorization.

734328144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8825 (or 8816 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 734328144 is about 27098.4896996124. The cubic root of 734328144 is about 902.1873315239.

The spelling of 734328144 in words is "seven hundred thirty-four million, three hundred twenty-eight thousand, one hundred forty-four".