303840 has 72 divisors (see below), whose sum is σ = 1041768. Its totient is φ = 80640.

The previous prime is 303839. The next prime is 303859. The reversal of 303840 is 48303.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1335 + ... + 1545.

It is an arithmetic number, because the mean of its divisors is an integer number (14469).

2³⁰³⁸⁴⁰ is an apocalyptic number.

303840 is a gapful number since it is divisible by the number (30) 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 303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520884).

303840 is an abundant number, since it is smaller than the sum of its proper divisors (737928).

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

303840 is a wasteful number, since it uses less digits than its factorization.

303840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 303840 is about 551.2168357371. The cubic root of 303840 is about 67.2277096609.

The spelling of 303840 in words is "three hundred three thousand, eight hundred forty".