307842144 has 48 divisors (see below), whose sum is σ = 818334720. Its totient is φ = 101312640.

The previous prime is 307842131. The next prime is 307842167. The reversal of 307842144 is 441248703.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12712 + ... + 27879.

It is an arithmetic number, because the mean of its divisors is an integer number (17048640).

Almost surely, 2^307842144 is an apocalyptic number.

It is an amenable number.

307842144 is an abundant number, since it is smaller than the sum of its proper divisors (510492576).

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

307842144 is a wasteful number, since it uses less digits than its factorization.

307842144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40683 (or 40675 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 307842144 is about 17545.4308582035. The cubic root of 307842144 is about 675.2159484639.

The spelling of 307842144 in words is "three hundred seven million, eight hundred forty-two thousand, one hundred forty-four".