1003342144 has 56 divisors (see below), whose sum is σ = 2278847360. Its totient is φ = 429359616.

The previous prime is 1003342127. The next prime is 1003342147. The reversal of 1003342144 is 4412433001.

1003342144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×1003342144³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003342147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410494 + ... + 412930.

Almost surely, 2^1003342144 is an apocalyptic number.

1003342144 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 1003342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139423680).

1003342144 is an abundant number, since it is smaller than the sum of its proper divisors (1275505216).

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

1003342144 is an equidigital number, since it uses as much as digits as its factorization.

1003342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1003342144 is about 31675.5764588429. The cubic root of 1003342144 is about 1001.1128091963.

Adding to 1003342144 its reverse (4412433001), we get a palindrome (5415775145).

The spelling of 1003342144 in words is "one billion, three million, three hundred forty-two thousand, one hundred forty-four".