1034102304 has 72 divisors (see below), whose sum is σ = 2962306620. Its totient is φ = 342171648.

The previous prime is 1034102281. The next prime is 1034102327. The reversal of 1034102304 is 4032014301.

It is an interprime number because it is at equal distance from previous prime (1034102281) and next prime (1034102327).

It can be written as a sum of positive squares in 2 ways, for example, as 1033493904 + 608400 = 32148^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26352 + ... + 52560.

Almost surely, 2^1034102304 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 1034102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481153310).

1034102304 is an abundant number, since it is smaller than the sum of its proper divisors (1928204316).

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

1034102304 is a wasteful number, since it uses less digits than its factorization.

1034102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26362 (or 26351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1034102304 is about 32157.4610938115. The cubic root of 1034102304 is about 1011.2406099331.

Adding to 1034102304 its reverse (4032014301), we get a palindrome (5066116605).

The spelling of 1034102304 in words is "one billion, thirty-four million, one hundred two thousand, three hundred four".