303426144 has 144 divisors (see below), whose sum is σ = 1003242240. Its totient is φ = 85190400.

The previous prime is 303426121. The next prime is 303426157. The reversal of 303426144 is 441624303.

303426144 is a `hidden beast` number, since 3 + 0 + 3 + 42 + 614 + 4 = 666.

303426144 is digitally balanced in base 3, 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 (144).

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, 117669 + ... + 120219.

It is an arithmetic number, because the mean of its divisors is an integer number (6966960).

Almost surely, 2^303426144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501621120).

303426144 is an abundant number, since it is smaller than the sum of its proper divisors (699816096).

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

303426144 is a wasteful number, since it uses less digits than its factorization.

303426144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 303426144 is about 17419.1315512571. The cubic root of 303426144 is about 671.9717250008.

The spelling of 303426144 in words is "three hundred three million, four hundred twenty-six thousand, one hundred forty-four".