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312623417 is a prime number
BaseRepresentation
bin10010101000100…
…100000100111001
3210210020220201002
4102220210010321
51120012422132
651004334345
710514153351
oct2250440471
9723226632
10312623417
11150516667
12888443b5
134c9ca792
142d73bb61
151c6a4262
hex12a24139

312623417 has 2 divisors, whose sum is σ = 312623418. Its totient is φ = 312623416.

The previous prime is 312623369. The next prime is 312623431. The reversal of 312623417 is 714326213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307511296 + 5112121 = 17536^2 + 2261^2 .

It is a cyclic number.

It is not a de Polignac number, because 312623417 - 210 = 312622393 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312623417.

It is not a weakly prime, because it can be changed into another prime (312623497) 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 as a sum of consecutive naturals, namely, 156311708 + 156311709.

It is an arithmetic number, because the mean of its divisors is an integer number (156311709).

Almost surely, 2312623417 is an apocalyptic number.

It is an amenable number.

312623417 is a deficient number, since it is larger than the sum of its proper divisors (1).

312623417 is an equidigital number, since it uses as much as digits as its factorization.

312623417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 29.

The square root of 312623417 is about 17681.1599449810. The cubic root of 312623417 is about 678.6937271319.

The spelling of 312623417 in words is "three hundred twelve million, six hundred twenty-three thousand, four hundred seventeen".