312740736 has 192 divisors, whose sum is σ = 1054892160. Its totient is φ = 81177600.

The previous prime is 312740699. The next prime is 312740737. The reversal of 312740736 is 637047213.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 312740697 and 312740706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312740737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206221 + ... + 207731.

It is an arithmetic number, because the mean of its divisors is an integer number (5494230).

Almost surely, 2^312740736 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 312740736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527446080).

312740736 is an abundant number, since it is smaller than the sum of its proper divisors (742151424).

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

312740736 is a wasteful number, since it uses less digits than its factorization.

312740736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 312740736 is about 17684.4772611463. The cubic root of 312740736 is about 678.7786148988.

Adding to 312740736 its reverse (637047213), we get a palindrome (949787949).

The spelling of 312740736 in words is "three hundred twelve million, seven hundred forty thousand, seven hundred thirty-six".