1003342032 has 480 divisors, whose sum is σ = 3799756800. Its totient is φ = 250387200.

The previous prime is 1003342027. The next prime is 1003342033. The reversal of 1003342032 is 2302433001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1003341996 and 1003342014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003342033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7218219 + ... + 7218357.

It is an arithmetic number, because the mean of its divisors is an integer number (7916160).

Almost surely, 2^1003342032 is an apocalyptic number.

1003342032 is a gapful number since it is divisible by the number (12) 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 1003342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899878400).

1003342032 is an abundant number, since it is smaller than the sum of its proper divisors (2796414768).

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

1003342032 is a wasteful number, since it uses less digits than its factorization.

1003342032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1003342032 is about 31675.5746909192. The cubic root of 1003342032 is about 1001.1127719460.

Adding to 1003342032 its reverse (2302433001), we get a palindrome (3305775033).

The spelling of 1003342032 in words is "one billion, three million, three hundred forty-two thousand, thirty-two".