733734040 has 128 divisors (see below), whose sum is σ = 1916006400. Its totient is φ = 250652160.

The previous prime is 733734037. The next prime is 733734049. The reversal of 733734040 is 40437337.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 733733993 and 733734011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (733734049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369771 + ... + 371749.

It is an arithmetic number, because the mean of its divisors is an integer number (14968800).

Almost surely, 2^733734040 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 733734040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958003200).

733734040 is an abundant number, since it is smaller than the sum of its proper divisors (1182272360).

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

733734040 is a wasteful number, since it uses less digits than its factorization.

733734040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 31.

The square root of 733734040 is about 27087.5255422122. The cubic root of 733734040 is about 901.9439627070.

The spelling of 733734040 in words is "seven hundred thirty-three million, seven hundred thirty-four thousand, forty".