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344114081 is a prime number
BaseRepresentation
bin10100100000101…
…100001110100001
3212222111210202222
4110200230032201
51201043122311
654051320425
711345631023
oct2440541641
9788453688
10344114081
11167275003
12972b0115
13563a50cc
14339b8013
1520324adb
hex1482c3a1

344114081 has 2 divisors, whose sum is σ = 344114082. Its totient is φ = 344114080.

The previous prime is 344114009. The next prime is 344114083. The reversal of 344114081 is 180411443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310288225 + 33825856 = 17615^2 + 5816^2 .

It is an emirp because it is prime and its reverse (180411443) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344114081 is a prime.

It is a super-2 number, since 2×3441140812 = 236829001484949122, which contains 22 as substring.

Together with 344114083, it forms a pair of twin primes.

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 344114081.

It is not a weakly prime, because it can be changed into another prime (344114083) 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, 172057040 + 172057041.

It is an arithmetic number, because the mean of its divisors is an integer number (172057041).

Almost surely, 2344114081 is an apocalyptic number.

It is an amenable number.

344114081 is a deficient number, since it is larger than the sum of its proper divisors (1).

344114081 is an equidigital number, since it uses as much as digits as its factorization.

344114081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 344114081 is about 18550.3121537078. The cubic root of 344114081 is about 700.7570591667.

The spelling of 344114081 in words is "three hundred forty-four million, one hundred fourteen thousand, eighty-one".