306950364 has 192 divisors, whose sum is σ = 963379200. Its totient is φ = 82627776.

The previous prime is 306950363. The next prime is 306950381. The reversal of 306950364 is 463059603.

306950364 is a `hidden beast` number, since 30 + 69 + 503 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306950363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2208207 + ... + 2208345.

It is an arithmetic number, because the mean of its divisors is an integer number (5017600).

Almost surely, 2^306950364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306950364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481689600).

306950364 is an abundant number, since it is smaller than the sum of its proper divisors (656428836).

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

306950364 is a wasteful number, since it uses less digits than its factorization.

306950364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 306950364 is about 17519.9989726027. The cubic root of 306950364 is about 674.5633126102.

Adding to 306950364 its sum of digits (36), we get a square (306950400 = 17520²).

The spelling of 306950364 in words is "three hundred six million, nine hundred fifty thousand, three hundred sixty-four".