1003350000 has 120 divisors (see below), whose sum is σ = 3240261360. Its totient is φ = 267520000.

The previous prime is 1003349993. The next prime is 1003350037. The reversal of 1003350000 is 533001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1003350000² = 2013422445000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146656 + ... + 153344.

It is an arithmetic number, because the mean of its divisors is an integer number (27002178).

Almost surely, 2^1003350000 is an apocalyptic number.

1003350000 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 1003350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620130680).

1003350000 is an abundant number, since it is smaller than the sum of its proper divisors (2236911360).

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

1003350000 is an frugal number, since it uses more digits than its factorization.

1003350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 1003350000 is about 31675.7004658145. The cubic root of 1003350000 is about 1001.1154220378.

Adding to 1003350000 its reverse (533001), we get a palindrome (1003883001).

The spelling of 1003350000 in words is "one billion, three million, three hundred fifty thousand".