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312590449 = 292537013
BaseRepresentation
bin10010101000011…
…100000001110001
3210210012020111001
4102220130001301
51120010343244
651003522001
710513655263
oct2250340161
9723166431
10312590449
111504a3916
1288829301
134c9b8782
142d72db33
151c6995d4
hex12a1c071

312590449 has 12 divisors (see below), whose sum is σ = 329896476. Its totient is φ = 296074688.

The previous prime is 312590363. The next prime is 312590471. The reversal of 312590449 is 944095213.

It can be written as a sum of positive squares in 6 ways, for example, as 32262400 + 280328049 = 5680^2 + 16743^2 .

It is a de Polignac number, because none of the positive numbers 2k-312590449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312590149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41067 + ... + 48079.

It is an arithmetic number, because the mean of its divisors is an integer number (27491373).

Almost surely, 2312590449 is an apocalyptic number.

It is an amenable number.

312590449 is a deficient number, since it is larger than the sum of its proper divisors (17306027).

312590449 is an equidigital number, since it uses as much as digits as its factorization.

312590449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 312590449 is about 17680.2276286251. The cubic root of 312590449 is about 678.6698688622.

The spelling of 312590449 in words is "three hundred twelve million, five hundred ninety thousand, four hundred forty-nine".

Divisors: 1 29 53 841 1537 7013 44573 203377 371689 5897933 10778981 312590449