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312514369 is a prime number
BaseRepresentation
bin10010101000001…
…001011101000001
3210210001101010021
4102220021131001
51120000424434
651002133441
710513220416
oct2250113501
9723041107
10312514369
11150451742
12887b1281
134c98cc5b
142d71010d
151c681cb4
hex12a09741

312514369 has 2 divisors, whose sum is σ = 312514370. Its totient is φ = 312514368.

The previous prime is 312514357. The next prime is 312514373. The reversal of 312514369 is 963415213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259049025 + 53465344 = 16095^2 + 7312^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312514369 is a prime.

It is a super-2 number, since 2×3125143692 = 195330461662936322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312544369) 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, 156257184 + 156257185.

It is an arithmetic number, because the mean of its divisors is an integer number (156257185).

Almost surely, 2312514369 is an apocalyptic number.

It is an amenable number.

312514369 is a deficient number, since it is larger than the sum of its proper divisors (1).

312514369 is an equidigital number, since it uses as much as digits as its factorization.

312514369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440, while the sum is 34.

The square root of 312514369 is about 17678.0759416855. The cubic root of 312514369 is about 678.6148049138.

The spelling of 312514369 in words is "three hundred twelve million, five hundred fourteen thousand, three hundred sixty-nine".