312741248 has 64 divisors (see below), whose sum is σ = 666688320. Its totient is φ = 145612800.

The previous prime is 312741239. The next prime is 312741259. The reversal of 312741248 is 842147213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219065 + ... + 220487.

It is an arithmetic number, because the mean of its divisors is an integer number (10417005).

Almost surely, 2^312741248 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 312741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333344160).

312741248 is an abundant number, since it is smaller than the sum of its proper divisors (353947072).

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

312741248 is a wasteful number, since it uses less digits than its factorization.

312741248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1543 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 312741248 is about 17684.4917371125. The cubic root of 312741248 is about 678.7789853169.

The spelling of 312741248 in words is "three hundred twelve million, seven hundred forty-one thousand, two hundred forty-eight".