1234034000 has 80 divisors (see below), whose sum is σ = 3015129936. Its totient is φ = 488448000.

The previous prime is 1234033967. The next prime is 1234034023. The reversal of 1234034000 is 4304321.

It can be written as a sum of positive squares in 8 ways, for example, as 590295616 + 643738384 = 24296^2 + 25372^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1234034000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190820 + ... + 197180.

Almost surely, 2^1234034000 is an apocalyptic number.

1234034000 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 1234034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507564968).

1234034000 is an abundant number, since it is smaller than the sum of its proper divisors (1781095936).

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

1234034000 is an equidigital number, since it uses as much as digits as its factorization.

1234034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1234034000 is about 35128.8200769681. The cubic root of 1234034000 is about 1072.6113178052.

Adding to 1234034000 its reverse (4304321), we get a palindrome (1238338321).

The spelling of 1234034000 in words is "one billion, two hundred thirty-four million, thirty-four thousand".