312114330 has 128 divisors (see below), whose sum is σ = 955929600. Its totient is φ = 71668800.

The previous prime is 312114329. The next prime is 312114337. The reversal of 312114330 is 33411213.

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

It is not an unprimeable number, because it can be changed into a prime (312114337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53665 + ... + 59195.

It is an arithmetic number, because the mean of its divisors is an integer number (7468200).

Almost surely, 2^312114330 is an apocalyptic number.

312114330 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 312114330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477964800).

312114330 is an abundant number, since it is smaller than the sum of its proper divisors (643815270).

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

312114330 is a wasteful number, since it uses less digits than its factorization.

312114330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 312114330 is about 17666.7577670607. The cubic root of 312114330 is about 678.3251240420.

Adding to 312114330 its reverse (33411213), we get a palindrome (345525543).

The spelling of 312114330 in words is "three hundred twelve million, one hundred fourteen thousand, three hundred thirty".