305540730 has 72 divisors (see below), whose sum is σ = 873221076. Its totient is φ = 74067840.

The previous prime is 305540701. The next prime is 305540759. The reversal of 305540730 is 37045503.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (305540701) and next prime (305540759).

It can be written as a sum of positive squares in 2 ways, for example, as 304746849 + 793881 = 17457^2 + 891^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 305540694 and 305540703.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3139 + ... + 24918.

Almost surely, 2^305540730 is an apocalyptic number.

305540730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305540730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436610538).

305540730 is an abundant number, since it is smaller than the sum of its proper divisors (567680346).

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

305540730 is a wasteful number, since it uses less digits than its factorization.

305540730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28092 (or 28078 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 305540730 is about 17479.7233959808. The cubic root of 305540730 is about 673.5291098739.

The spelling of 305540730 in words is "three hundred five million, five hundred forty thousand, seven hundred thirty".