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338141 is a prime number
BaseRepresentation
bin1010010100011011101
3122011211202
41102203131
541310031
611125245
72605556
oct1224335
9564752
10338141
11211061
12143825
13babab
148b32d
156a2cb
hex528dd

338141 has 2 divisors, whose sum is σ = 338142. Its totient is φ = 338140.

The previous prime is 338137. The next prime is 338153. The reversal of 338141 is 141833.

It is a happy number.

338141 is nontrivially palindromic in base 13.

338141 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 326041 + 12100 = 571^2 + 110^2 .

It is an emirp because it is prime and its reverse (141833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 338141 - 22 = 338137 is a prime.

It is a super-2 number, since 2×3381412 = 228678671762, which contains 22 as substring.

338141 is an undulating number in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338141.

It is not a weakly prime, because it can be changed into another prime (338161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169070 + 169071.

It is an arithmetic number, because the mean of its divisors is an integer number (169071).

2338141 is an apocalyptic number.

It is an amenable number.

338141 is a deficient number, since it is larger than the sum of its proper divisors (1).

338141 is an equidigital number, since it uses as much as digits as its factorization.

338141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 20.

The square root of 338141 is about 581.4989251925. The cubic root of 338141 is about 69.6678825313.

Adding to 338141 its reverse (141833), we get a palindrome (479974).

The spelling of 338141 in words is "three hundred thirty-eight thousand, one hundred forty-one".