306434016 has 120 divisors (see below), whose sum is σ = 1030019760. Its totient is φ = 87547392.

The previous prime is 306433997. The next prime is 306434017. The reversal of 306434016 is 610434603.

306434016 is a `hidden beast` number, since 3 + 0 + 643 + 4 + 0 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306434017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9700 + ... + 26588.

It is an arithmetic number, because the mean of its divisors is an integer number (8583498).

Almost surely, 2^306434016 is an apocalyptic number.

306434016 is a gapful number since it is divisible by the number (36) 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 306434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515009880).

306434016 is an abundant number, since it is smaller than the sum of its proper divisors (723585744).

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

306434016 is a wasteful number, since it uses less digits than its factorization.

306434016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16918 (or 16901 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 306434016 is about 17505.2568104555. The cubic root of 306434016 is about 674.1848530413.

Adding to 306434016 its reverse (610434603), we get a palindrome (916868619).

The spelling of 306434016 in words is "three hundred six million, four hundred thirty-four thousand, sixteen".