934338240 has 560 divisors, whose sum is σ = 3783970080. Its totient is φ = 216760320.

The previous prime is 934338191. The next prime is 934338259. The reversal of 934338240 is 42833439.

It is a happy number.

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 = 934338195 and 934338204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8268424 + ... + 8268536.

Almost surely, 2^934338240 is an apocalyptic number.

934338240 is a gapful number since it is divisible by the number (90) 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 934338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891985040).

934338240 is an abundant number, since it is smaller than the sum of its proper divisors (2849631840).

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

934338240 is a wasteful number, since it uses less digits than its factorization.

934338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 934338240 is about 30566.9468544047. The cubic root of 934338240 is about 977.6154158019.

The spelling of 934338240 in words is "nine hundred thirty-four million, three hundred thirty-eight thousand, two hundred forty".