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312638427 = 3373315797
BaseRepresentation
bin10010101000100…
…111101111011011
3210210021200022000
4102220213233123
51120013412202
651004532043
710514245203
oct2250475733
9723250260
10312638427
11150526972
1288851023
134ca0456a
142d743403
151c6a891c
hex12a27bdb

312638427 has 16 divisors (see below), whose sum is σ = 463829280. Its totient is φ = 208128096.

The previous prime is 312638413. The next prime is 312638429. The reversal of 312638427 is 724836213.

It is a happy number.

312638427 is a `hidden beast` number, since 3 + 12 + 638 + 4 + 2 + 7 = 666.

It is not a de Polignac number, because 312638427 - 24 = 312638411 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312638391 and 312638400.

It is not an unprimeable number, because it can be changed into a prime (312638429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11893 + ... + 27689.

It is an arithmetic number, because the mean of its divisors is an integer number (28989330).

Almost surely, 2312638427 is an apocalyptic number.

312638427 is a deficient number, since it is larger than the sum of its proper divisors (151190853).

312638427 is a wasteful number, since it uses less digits than its factorization.

312638427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16539 (or 16533 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 312638427 is about 17681.5844029883. The cubic root of 312638427 is about 678.7045890073.

The spelling of 312638427 in words is "three hundred twelve million, six hundred thirty-eight thousand, four hundred twenty-seven".

Divisors: 1 3 9 27 733 2199 6597 15797 19791 47391 142173 426519 11579201 34737603 104212809 312638427