306980352 has 240 divisors, whose sum is σ = 1048599552. Its totient is φ = 84602880.

The previous prime is 306980351. The next prime is 306980353. The reversal of 306980352 is 253089603.

It is an interprime number because it is at equal distance from previous prime (306980351) and next prime (306980353).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306980351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999783 + ... + 1000089.

Almost surely, 2^306980352 is an apocalyptic number.

306980352 is a gapful number since it is divisible by the number (32) 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 306980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524299776).

306980352 is an abundant number, since it is smaller than the sum of its proper divisors (741619200).

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

306980352 is a wasteful number, since it uses less digits than its factorization.

306980352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 306980352 is about 17520.8547736690. The cubic root of 306980352 is about 674.5852794039.

The spelling of 306980352 in words is "three hundred six million, nine hundred eighty thousand, three hundred fifty-two".