303153642 has 72 divisors (see below), whose sum is σ = 726906180. Its totient is φ = 91238400.

The previous prime is 303153637. The next prime is 303153649. The reversal of 303153642 is 246351303.

It is a happy number.

303153642 is a `hidden beast` number, since 3 + 0 + 3 + 15 + 3 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 258277041 + 44876601 = 16071^2 + 6699^2 .

It is not an unprimeable number, because it can be changed into a prime (303153649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 393834 + ... + 394602.

Almost surely, 2^303153642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303153642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363453090).

303153642 is an abundant number, since it is smaller than the sum of its proper divisors (423752538).

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

303153642 is a wasteful number, since it uses less digits than its factorization.

303153642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 303153642 is about 17411.3078773537. The cubic root of 303153642 is about 671.7705025209.

The spelling of 303153642 in words is "three hundred three million, one hundred fifty-three thousand, six hundred forty-two".