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312916729 is a prime number
BaseRepresentation
bin10010101001101…
…011101011111001
3210210210211001111
4102221223223321
51120101313404
651014520321
710516514446
oct2251535371
9723724044
10312916729
111506a6a74
12889660a1
134caa1138
142d7b69cd
151c711104
hex12a6baf9

312916729 has 2 divisors, whose sum is σ = 312916730. Its totient is φ = 312916728.

The previous prime is 312916727. The next prime is 312916777. The reversal of 312916729 is 927619213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223652025 + 89264704 = 14955^2 + 9448^2 .

It is a cyclic number.

It is not a de Polignac number, because 312916729 - 21 = 312916727 is a prime.

Together with 312916727, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 312916691 and 312916700.

It is not a weakly prime, because it can be changed into another prime (312916727) 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 as a sum of consecutive naturals, namely, 156458364 + 156458365.

It is an arithmetic number, because the mean of its divisors is an integer number (156458365).

Almost surely, 2312916729 is an apocalyptic number.

It is an amenable number.

312916729 is a deficient number, since it is larger than the sum of its proper divisors (1).

312916729 is an equidigital number, since it uses as much as digits as its factorization.

312916729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40824, while the sum is 40.

The square root of 312916729 is about 17689.4524788078. The cubic root of 312916729 is about 678.9059172396.

The spelling of 312916729 in words is "three hundred twelve million, nine hundred sixteen thousand, seven hundred twenty-nine".