305694144 has 126 divisors (see below), whose sum is σ = 1019367024. Its totient is φ = 87333120.

The previous prime is 305694113. The next prime is 305694149. The reversal of 305694144 is 441496503.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a junction number, because it is equal to n+sod(n) for n = 305694099 and 305694108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305694149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22809 + ... + 33639.

Almost surely, 2^305694144 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 305694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509683512).

305694144 is an abundant number, since it is smaller than the sum of its proper divisors (713672880).

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

305694144 is a wasteful number, since it uses less digits than its factorization.

305694144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10863 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 305694144 is about 17484.1111870178. Note that the first 4 decimals coincide. The cubic root of 305694144 is about 673.6418188032.

The spelling of 305694144 in words is "three hundred five million, six hundred ninety-four thousand, one hundred forty-four".