312304050 has 72 divisors (see below), whose sum is σ = 861780036. Its totient is φ = 81025920.

The previous prime is 312304021. The next prime is 312304061. The reversal of 312304050 is 50403213.

312304050 is a `hidden beast` number, since 31 + 230 + 405 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 198049329 + 114254721 = 14073^2 + 10689^2 .

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

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, 7272 + ... + 26028.

Almost surely, 2^312304050 is an apocalyptic number.

312304050 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 312304050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430890018).

312304050 is an abundant number, since it is smaller than the sum of its proper divisors (549475986).

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

312304050 is a wasteful number, since it uses less digits than its factorization.

312304050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18812 (or 18804 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 312304050 is about 17672.1263576288. The cubic root of 312304050 is about 678.4625371240.

Adding to 312304050 its reverse (50403213), we get a palindrome (362707263).

The spelling of 312304050 in words is "three hundred twelve million, three hundred four thousand, fifty".