312002340 has 96 divisors (see below), whose sum is σ = 944939520. Its totient is φ = 76463616.

The previous prime is 312002323. The next prime is 312002357. The reversal of 312002340 is 43200213.

It is an interprime number because it is at equal distance from previous prime (312002323) and next prime (312002357).

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

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, 209077 + ... + 210563.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2^312002340 is an apocalyptic number.

312002340 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 312002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472469760).

312002340 is an abundant number, since it is smaller than the sum of its proper divisors (632937180).

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

312002340 is a wasteful number, since it uses less digits than its factorization.

312002340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1779 counting only the distinct ones).

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

The square root of 312002340 is about 17663.5879707380. The cubic root of 312002340 is about 678.2439842043.

Adding to 312002340 its reverse (43200213), we get a palindrome (355202553).

The spelling of 312002340 in words is "three hundred twelve million, two thousand, three hundred forty".