312377340 has 96 divisors (see below), whose sum is σ = 969937920. Its totient is φ = 74476800.

The previous prime is 312377339. The next prime is 312377371. The reversal of 312377340 is 43773213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312377298 and 312377307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36381 + ... + 44139.

It is an arithmetic number, because the mean of its divisors is an integer number (10103520).

Almost surely, 2^312377340 is an apocalyptic number.

312377340 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 312377340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484968960).

312377340 is an abundant number, since it is smaller than the sum of its proper divisors (657560580).

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

312377340 is a wasteful number, since it uses less digits than its factorization.

312377340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7843 (or 7841 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 312377340 is about 17674.1998404454. The cubic root of 312377340 is about 678.5156057389.

The spelling of 312377340 in words is "three hundred twelve million, three hundred seventy-seven thousand, three hundred forty".