734144268 has 288 divisors, whose sum is σ = 2252275200. Its totient is φ = 183997440.

The previous prime is 734144267. The next prime is 734144273. The reversal of 734144268 is 862441437.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (734144267) 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 95 ways as a sum of consecutive naturals, for example, 8248768 + ... + 8248856.

It is an arithmetic number, because the mean of its divisors is an integer number (7820400).

Almost surely, 2^734144268 is an apocalyptic number.

734144268 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734144268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126137600).

734144268 is an abundant number, since it is smaller than the sum of its proper divisors (1518130932).

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

734144268 is a wasteful number, since it uses less digits than its factorization.

734144268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 734144268 is about 27095.0967519956. The cubic root of 734144268 is about 902.1120225732.

The spelling of 734144268 in words is "seven hundred thirty-four million, one hundred forty-four thousand, two hundred sixty-eight".