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314042033 is a prime number
BaseRepresentation
bin10010101101111…
…110011010110001
3210212220222200102
4102231332122301
51120343321113
651055002145
710532212304
oct2255763261
9725828612
10314042033
111512a5478
1289209355
13500a63b6
142d9cab3b
151c884758
hex12b7e6b1

314042033 has 2 divisors, whose sum is σ = 314042034. Its totient is φ = 314042032.

The previous prime is 314041991. The next prime is 314042063. The reversal of 314042033 is 330240413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309513649 + 4528384 = 17593^2 + 2128^2 .

It is a cyclic number.

It is not a de Polignac number, because 314042033 - 228 = 45606577 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 314041996 and 314042014.

It is not a weakly prime, because it can be changed into another prime (314042063) 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, 157021016 + 157021017.

It is an arithmetic number, because the mean of its divisors is an integer number (157021017).

Almost surely, 2314042033 is an apocalyptic number.

It is an amenable number.

314042033 is a deficient number, since it is larger than the sum of its proper divisors (1).

314042033 is an equidigital number, since it uses as much as digits as its factorization.

314042033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 314042033 is about 17721.2311366902. The cubic root of 314042033 is about 679.7187656235.

Adding to 314042033 its reverse (330240413), we get a palindrome (644282446).

The spelling of 314042033 in words is "three hundred fourteen million, forty-two thousand, thirty-three".