312034200 has 192 divisors, whose sum is σ = 1017792000. Its totient is φ = 78973440.

The previous prime is 312034183. The next prime is 312034211. The reversal of 312034200 is 2430213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312034200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374487 + ... + 1374713.

It is an arithmetic number, because the mean of its divisors is an integer number (5301000).

Almost surely, 2^312034200 is an apocalyptic number.

312034200 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 312034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896000).

312034200 is an abundant number, since it is smaller than the sum of its proper divisors (705757800).

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

312034200 is a wasteful number, since it uses less digits than its factorization.

312034200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 312034200 is about 17664.4898029918. The cubic root of 312034200 is about 678.2670696272.

Adding to 312034200 its reverse (2430213), we get a palindrome (314464413).

The spelling of 312034200 in words is "three hundred twelve million, thirty-four thousand, two hundred".