307149516 has 144 divisors (see below), whose sum is σ = 872502400. Its totient is φ = 93133152.

The previous prime is 307149499. The next prime is 307149517. The reversal of 307149516 is 615941703.

307149516 is a `hidden beast` number, since 30 + 71 + 49 + 516 = 666.

307149516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (307149517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5205895 + ... + 5205953.

Almost surely, 2^307149516 is an apocalyptic number.

307149516 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 307149516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436251200).

307149516 is an abundant number, since it is smaller than the sum of its proper divisors (565352884).

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

307149516 is a wasteful number, since it uses less digits than its factorization.

307149516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 307149516 is about 17525.6816129930. The cubic root of 307149516 is about 674.7091685371.

The spelling of 307149516 in words is "three hundred seven million, one hundred forty-nine thousand, five hundred sixteen".