307284240 has 80 divisors (see below), whose sum is σ = 956563776. Its totient is φ = 81600000.

The previous prime is 307284227. The next prime is 307284251. The reversal of 307284240 is 42482703.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 307284198 and 307284207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57690 + ... + 62790.

Almost surely, 2^307284240 is an apocalyptic number.

307284240 is a gapful number since it is divisible by the number (30) 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 307284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478281888).

307284240 is an abundant number, since it is smaller than the sum of its proper divisors (649279536).

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

307284240 is a wasteful number, since it uses less digits than its factorization.

307284240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 307284240 is about 17529.5248081629. The cubic root of 307284240 is about 674.8078026183.

The spelling of 307284240 in words is "three hundred seven million, two hundred eighty-four thousand, two hundred forty".