306149382 has 160 divisors (see below), whose sum is σ = 867297024. Its totient is φ = 78732000.

The previous prime is 306149351. The next prime is 306149383. The reversal of 306149382 is 283941603.

306149382 is a `hidden beast` number, since 3 + 0 + 614 + 9 + 38 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306149383) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3031132 + ... + 3031232.

Almost surely, 2^306149382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306149382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433648512).

306149382 is an abundant number, since it is smaller than the sum of its proper divisors (561147642).

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

306149382 is an equidigital number, since it uses as much as digits as its factorization.

306149382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 306149382 is about 17497.1249638333. The cubic root of 306149382 is about 673.9760474836.

It can be divided in two parts, 3061493 and 82, that added together give a triangular number (3061575 = T₂₄₇₄).

The spelling of 306149382 in words is "three hundred six million, one hundred forty-nine thousand, three hundred eighty-two".