312124340 has 72 divisors (see below), whose sum is σ = 728168616. Its totient is φ = 112288000.

The previous prime is 312124333. The next prime is 312124357. The reversal of 312124340 is 43421213.

It can be written as a sum of positive squares in 4 ways, for example, as 127870864 + 184253476 = 11308^2 + 13574^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243782 + ... + 245058.

It is an arithmetic number, because the mean of its divisors is an integer number (10113453).

Almost surely, 2^312124340 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 312124340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364084308).

312124340 is an abundant number, since it is smaller than the sum of its proper divisors (416044276).

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

312124340 is a wasteful number, since it uses less digits than its factorization.

312124340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 312124340 is about 17667.0410652152. The cubic root of 312124340 is about 678.3323756175.

Adding to 312124340 its reverse (43421213), we get a palindrome (355545553).

The spelling of 312124340 in words is "three hundred twelve million, one hundred twenty-four thousand, three hundred forty".