1034130400 has 72 divisors (see below), whose sum is σ = 2673110160. Its totient is φ = 389314560.

The previous prime is 1034130373. The next prime is 1034130431. The reversal of 1034130400 is 40314301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24420 + ... + 51619.

It is an arithmetic number, because the mean of its divisors is an integer number (37126530).

Almost surely, 2^1034130400 is an apocalyptic number.

1034130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034130400 is an abundant number, since it is smaller than the sum of its proper divisors (1638979760).

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

1034130400 is a wasteful number, since it uses less digits than its factorization.

1034130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76076 (or 76063 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1034130400 is about 32157.8979412523. The cubic root of 1034130400 is about 1011.2497681368.

Adding to 1034130400 its reverse (40314301), we get a palindrome (1074444701).

The spelling of 1034130400 in words is "one billion, thirty-four million, one hundred thirty thousand, four hundred".