303193396900 has 243 divisors, whose sum is σ = 725553058377. Its totient is φ = 109949798400.

The previous prime is 303193396861. The next prime is 303193396903. The reversal of 303193396900 is 9693391303.

The square root of 303193396900 is 550630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 262547611236 + 40645785664 = 512394^2 + 201608^2 .

It is a super-2 number, since 2×303193396900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (303193396903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3837891061 + ... + 3837891139.

Almost surely, 2^303193396900 is an apocalyptic number.

303193396900 is the 550630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303193396900

303193396900 is an abundant number, since it is smaller than the sum of its proper divisors (422359661477).

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

303193396900 is a wasteful number, since it uses less digits than its factorization.

303193396900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 354294, while the sum is 46.

The spelling of 303193396900 in words is "three hundred three billion, one hundred ninety-three million, three hundred ninety-six thousand, nine hundred".