305352002340 has 384 divisors, whose sum is σ = 1216412467200. Its totient is φ = 61734597120.

The previous prime is 305352002191. The next prime is 305352002357. The reversal of 305352002340 is 43200253503.

305352002340 is a `hidden beast` number, since 30 + 53 + 520 + 0 + 23 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1439221 + ... + 1637699.

It is an arithmetic number, because the mean of its divisors is an integer number (3167740800).

Almost surely, 2^305352002340 is an apocalyptic number.

305352002340 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 305352002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608206233600).

305352002340 is an abundant number, since it is smaller than the sum of its proper divisors (911060464860).

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

305352002340 is a wasteful number, since it uses less digits than its factorization.

305352002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198552 (or 198544 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 305352002340 its reverse (43200253503), we get a palindrome (348552255843).

The spelling of 305352002340 in words is "three hundred five billion, three hundred fifty-two million, two thousand, three hundred forty".