1003349424 has 480 divisors, whose sum is σ = 3609768960. Its totient is φ = 234178560.

The previous prime is 1003349419. The next prime is 1003349497. The reversal of 1003349424 is 4249433001.

It is a super-2 number, since 2×1003349424² = 2013420133282263552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003349391 and 1003349400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27117534 + ... + 27117570.

It is an arithmetic number, because the mean of its divisors is an integer number (7520352).

Almost surely, 2^1003349424 is an apocalyptic number.

1003349424 is a gapful number since it is divisible by the number (14) 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 1003349424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804884480).

1003349424 is an abundant number, since it is smaller than the sum of its proper divisors (2606419536).

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

1003349424 is a wasteful number, since it uses less digits than its factorization.

1003349424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1003349424 is about 31675.6913736701. The cubic root of 1003349424 is about 1001.1152304653.

The spelling of 1003349424 in words is "one billion, three million, three hundred forty-nine thousand, four hundred twenty-four".