1003240000 has 140 divisors (see below), whose sum is σ = 2843889664. Its totient is φ = 343872000.

The previous prime is 1003239931. The next prime is 1003240037. The reversal of 1003240000 is 423001.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 278209 + ... + 281791.

Almost surely, 2^1003240000 is an apocalyptic number.

1003240000 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 1003240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421944832).

1003240000 is an abundant number, since it is smaller than the sum of its proper divisors (1840649664).

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

1003240000 is an frugal number, since it uses more digits than its factorization.

1003240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1003240000 is about 31673.9640714578. The cubic root of 1003240000 is about 1001.0788356950.

Adding to 1003240000 its reverse (423001), we get a palindrome (1003663001).

It can be divided in two parts, 100 and 3240000, that multiplied together give a square (324000000 = 18000²).

The spelling of 1003240000 in words is "one billion, three million, two hundred forty thousand".