1034042321 has 16 divisors (see below), whose sum is σ = 1129936080. Its totient is φ = 940584960.

The previous prime is 1034042311. The next prime is 1034042351. The reversal of 1034042321 is 1232404301.

It can be written as a sum of positive squares in 8 ways, for example, as 475240000 + 558802321 = 21800^2 + 23639^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1034042321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1034042293 and 1034042302.

It is not an unprimeable number, because it can be changed into a prime (1034042311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 263945 + ... + 267833.

It is an arithmetic number, because the mean of its divisors is an integer number (70621005).

Almost surely, 2^1034042321 is an apocalyptic number.

It is an amenable number.

1034042321 is a deficient number, since it is larger than the sum of its proper divisors (95893759).

1034042321 is a wasteful number, since it uses less digits than its factorization.

1034042321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1034042321 is about 32156.5284351405. The cubic root of 1034042321 is about 1011.2210572518.

Adding to 1034042321 its reverse (1232404301), we get a palindrome (2266446622).

The spelling of 1034042321 in words is "one billion, thirty-four million, forty-two thousand, three hundred twenty-one".