312729240 has 64 divisors (see below), whose sum is σ = 968463360. Its totient is φ = 80703360.

The previous prime is 312729233. The next prime is 312729247. The reversal of 312729240 is 42927213.

It is an interprime number because it is at equal distance from previous prime (312729233) and next prime (312729247).

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 = 312729198 and 312729207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312729247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38314 + ... + 45753.

It is an arithmetic number, because the mean of its divisors is an integer number (15132240).

Almost surely, 2^312729240 is an apocalyptic number.

312729240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312729240 is an abundant number, since it is smaller than the sum of its proper divisors (655734120).

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

312729240 is a wasteful number, since it uses less digits than its factorization.

312729240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84112 (or 84108 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 312729240 is about 17684.1522273475. The cubic root of 312729240 is about 678.7702977491.

The spelling of 312729240 in words is "three hundred twelve million, seven hundred twenty-nine thousand, two hundred forty".