350013312 has 336 divisors, whose sum is σ = 1186211040. Its totient is φ = 102643200.

The previous prime is 350013283. The next prime is 350013317. The reversal of 350013312 is 213310053.

350013312 is a `hidden beast` number, since 350 + 0 + 1 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350013317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 11290737 + ... + 11290767.

It is an arithmetic number, because the mean of its divisors is an integer number (3530390).

Almost surely, 2^350013312 is an apocalyptic number.

350013312 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 350013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593105520).

350013312 is an abundant number, since it is smaller than the sum of its proper divisors (836197728).

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

350013312 is an equidigital number, since it uses as much as digits as its factorization.

350013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 350013312 is about 18708.6427086521. The cubic root of 350013312 is about 704.7388077257.

Adding to 350013312 its reverse (213310053), we get a palindrome (563323365).

The spelling of 350013312 in words is "three hundred fifty million, thirteen thousand, three hundred twelve".