1034000000 has 224 divisors, whose sum is σ = 2868713280. Its totient is φ = 368000000.

The previous prime is 1033999999. The next prime is 1034000003. The reversal of 1034000000 is 4301.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1034000003) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 21999977 + ... + 22000023.

Almost surely, 2^1034000000 is an apocalyptic number.

1034000000 is a gapful number since it is divisible by the number (10) 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 1034000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434356640).

1034000000 is an abundant number, since it is smaller than the sum of its proper divisors (1834713280).

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

1034000000 is an frugal number, since it uses more digits than its factorization.

1034000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1034000000 is about 32155.8703816271. The cubic root of 1034000000 is about 1011.2072614044.

Adding to 1034000000 its reverse (4301), we get a palindrome (1034004301).

The spelling of 1034000000 in words is "one billion, thirty-four million", and thus it is an aban number.