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414164393 is a prime number
BaseRepresentation
bin11000101011111…
…010010110101001
31001212022201201222
4120223322112221
51322011230033
6105032551425
713156224236
oct3053722651
91055281658
10414164393
111a286a925
12b6852575
1367a607b6
143d01078d
1526560598
hex18afa5a9

414164393 has 2 divisors, whose sum is σ = 414164394. Its totient is φ = 414164392.

The previous prime is 414164369. The next prime is 414164447. The reversal of 414164393 is 393461414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399480169 + 14684224 = 19987^2 + 3832^2 .

It is a cyclic number.

It is not a de Polignac number, because 414164393 - 218 = 413902249 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414164363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207082196 + 207082197.

It is an arithmetic number, because the mean of its divisors is an integer number (207082197).

Almost surely, 2414164393 is an apocalyptic number.

It is an amenable number.

414164393 is a deficient number, since it is larger than the sum of its proper divisors (1).

414164393 is an equidigital number, since it uses as much as digits as its factorization.

414164393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31104, while the sum is 35.

The square root of 414164393 is about 20351.0292860091. The cubic root of 414164393 is about 745.4026278820.

The spelling of 414164393 in words is "four hundred fourteen million, one hundred sixty-four thousand, three hundred ninety-three".