303362730 has 144 divisors (see below), whose sum is σ = 879507720. Its totient is φ = 72483840.

The previous prime is 303362729. The next prime is 303362737. The reversal of 303362730 is 37263303.

303362730 is a `hidden beast` number, since 3 + 0 + 3 + 3 + 627 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93489561 + 209873169 = 9669^2 + 14487^2 .

It is a junction number, because it is equal to n+sod(n) for n = 303362694 and 303362703.

It is not an unprimeable number, because it can be changed into a prime (303362737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 969054 + ... + 969366.

Almost surely, 2^303362730 is an apocalyptic number.

303362730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 303362730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439753860).

303362730 is an abundant number, since it is smaller than the sum of its proper divisors (576144990).

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

303362730 is a wasteful number, since it uses less digits than its factorization.

303362730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 27.

The square root of 303362730 is about 17417.3112161436. The cubic root of 303362730 is about 671.9249092328.

The spelling of 303362730 in words is "three hundred three million, three hundred sixty-two thousand, seven hundred thirty".