303713820 has 96 divisors (see below), whose sum is σ = 975421440. Its totient is φ = 78373440.

The previous prime is 303713819. The next prime is 303713863. The reversal of 303713820 is 28317303.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7669 + ... + 25811.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2^303713820 is an apocalyptic number.

303713820 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 303713820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

303713820 is an abundant number, since it is smaller than the sum of its proper divisors (671707620).

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

303713820 is a wasteful number, since it uses less digits than its factorization.

303713820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18192 (or 18184 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 303713820 is about 17427.3870674866. The cubic root of 303713820 is about 672.1840216689.

It can be divided in two parts, 30371 and 3820, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 303713820 in words is "three hundred three million, seven hundred thirteen thousand, eight hundred twenty".