306738198 has 64 divisors (see below), whose sum is σ = 743500800. Its totient is φ = 93169440.

The previous prime is 306738197. The next prime is 306738199. The reversal of 306738198 is 891837603.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (306738197) and next prime (306738199).

It is a super-2 number, since 2×306738198² = 188176644224574408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306738197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52693 + ... + 58223.

It is an arithmetic number, because the mean of its divisors is an integer number (11617200).

Almost surely, 2^306738198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306738198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371750400).

306738198 is an abundant number, since it is smaller than the sum of its proper divisors (436762602).

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

306738198 is a wasteful number, since it uses less digits than its factorization.

306738198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 306738198 is about 17513.9429598249. The cubic root of 306738198 is about 674.4078560020.

It can be divided in two parts, 306738 and 198, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 306738198 in words is "three hundred six million, seven hundred thirty-eight thousand, one hundred ninety-eight".