834429232 has 240 divisors, whose sum is σ = 2216524800. Its totient is φ = 300464640.

The previous prime is 834429221. The next prime is 834429247. The reversal of 834429232 is 232924438.

It is a super-2 number, since 2×834429232² = 1392544286432219648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 834429191 and 834429200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6003019 + ... + 6003157.

It is an arithmetic number, because the mean of its divisors is an integer number (9235520).

Almost surely, 2^834429232 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 834429232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108262400).

834429232 is an abundant number, since it is smaller than the sum of its proper divisors (1382095568).

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

834429232 is a wasteful number, since it uses less digits than its factorization.

834429232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 834429232 is about 28886.4887447402. The cubic root of 834429232 is about 941.4483602362.

The spelling of 834429232 in words is "eight hundred thirty-four million, four hundred twenty-nine thousand, two hundred thirty-two".