1034014300 has 72 divisors (see below), whose sum is σ = 2526838272. Its totient is φ = 363864000.

The previous prime is 1034014271. The next prime is 1034014337. The reversal of 1034014300 is 34104301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18939 + ... + 49261.

It is an arithmetic number, because the mean of its divisors is an integer number (35094976).

Almost surely, 2^1034014300 is an apocalyptic number.

1034014300 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 1034014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263419136).

1034014300 is an abundant number, since it is smaller than the sum of its proper divisors (1492823972).

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

1034014300 is a wasteful number, since it uses less digits than its factorization.

1034014300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30379 (or 30372 counting only the distinct ones).

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

The square root of 1034014300 is about 32156.0927352811. The cubic root of 1034014300 is about 1011.2119229766.

Adding to 1034014300 its reverse (34104301), we get a palindrome (1068118601).

Subtracting from 1034014300 its reverse (34104301), we obtain a palindrome (999909999).

It can be divided in two parts, 103401 and 4300, that added together give a palindrome (107701).

The spelling of 1034014300 in words is "one billion, thirty-four million, fourteen thousand, three hundred".