1000034024 has 48 divisors (see below), whose sum is σ = 2065184100. Its totient is φ = 453643520.

The previous prime is 1000034017. The next prime is 1000034029. The reversal of 1000034024 is 4204300001.

It can be written as a sum of positive squares in 2 ways, for example, as 915062500 + 84971524 = 30250^2 + 9218^2 .

It is not an unprimeable number, because it can be changed into a prime (1000034029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 782474 + ... + 783750.

Almost surely, 2^1000034024 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 1000034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032592050).

1000034024 is an abundant number, since it is smaller than the sum of its proper divisors (1065150076).

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

1000034024 is a wasteful number, since it uses less digits than its factorization.

1000034024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1000034024 is about 31623.3145637835. The cubic root of 1000034024 is about 1000.0113412047.

Adding to 1000034024 its reverse (4204300001), we get a palindrome (5204334025).

The spelling of 1000034024 in words is "one billion, thirty-four thousand, twenty-four".