312289380 has 144 divisors (see below), whose sum is σ = 1025794224. Its totient is φ = 76446720.

The previous prime is 312289379. The next prime is 312289387. The reversal of 312289380 is 83982213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 190937124 + 121352256 = 13818^2 + 11016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (312289387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741570 + ... + 741990.

It is an arithmetic number, because the mean of its divisors is an integer number (7123571).

Almost surely, 2^312289380 is an apocalyptic number.

312289380 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 312289380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512897112).

312289380 is an abundant number, since it is smaller than the sum of its proper divisors (713504844).

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

312289380 is a wasteful number, since it uses less digits than its factorization.

312289380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 312289380 is about 17671.7112923452. The cubic root of 312289380 is about 678.4519137146.

The spelling of 312289380 in words is "three hundred twelve million, two hundred eighty-nine thousand, three hundred eighty".