1034002000 has 160 divisors (see below), whose sum is σ = 2613180960. Its totient is φ = 395366400.

The previous prime is 1034001971. The next prime is 1034002027. The reversal of 1034002000 is 2004301.

1034002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 771950656 + 262051344 = 27784^2 + 16188^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6585922 + ... + 6586078.

It is an arithmetic number, because the mean of its divisors is an integer number (16332381).

Almost surely, 2^1034002000 is an apocalyptic number.

1034002000 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 1034002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306590480).

1034002000 is an abundant number, since it is smaller than the sum of its proper divisors (1579178960).

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

1034002000 is a wasteful number, since it uses less digits than its factorization.

1034002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1034002000 is about 32155.9014801327. The cubic root of 1034002000 is about 1011.2079133751.

Adding to 1034002000 its reverse (2004301), we get a palindrome (1036006301).

The spelling of 1034002000 in words is "one billion, thirty-four million, two thousand".