1029434112 has 432 divisors, whose sum is σ = 3673313280. Its totient is φ = 270950400.

The previous prime is 1029434093. The next prime is 1029434137. The reversal of 1029434112 is 2114349201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14499037 + ... + 14499107.

It is an arithmetic number, because the mean of its divisors is an integer number (8503040).

Almost surely, 2^1029434112 is an apocalyptic number.

1029434112 is a gapful number since it is divisible by the number (12) 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 1029434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836656640).

1029434112 is an abundant number, since it is smaller than the sum of its proper divisors (2643879168).

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

1029434112 is a wasteful number, since it uses less digits than its factorization.

1029434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1029434112 is about 32084.7956515232. The cubic root of 1029434112 is about 1009.7166515554.

The spelling of 1029434112 in words is "one billion, twenty-nine million, four hundred thirty-four thousand, one hundred twelve".