312001248 has 144 divisors (see below), whose sum is σ = 909059760. Its totient is φ = 93130752.

The previous prime is 312001243. The next prime is 312001321. The reversal of 312001248 is 842100213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3505588 + ... + 3505676.

It is an arithmetic number, because the mean of its divisors is an integer number (6312915).

Almost surely, 2^312001248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312001248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454529880).

312001248 is an abundant number, since it is smaller than the sum of its proper divisors (597058512).

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

312001248 is a wasteful number, since it uses less digits than its factorization.

312001248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 312001248 is about 17663.5570596638. The cubic root of 312001248 is about 678.2431929247.

It can be divided in two parts, 31200 and 1248, that multiplied together give a square (38937600 = 6240²).

The spelling of 312001248 in words is "three hundred twelve million, one thousand, two hundred forty-eight".