Search a number
-
+
338180261 is a prime number
BaseRepresentation
bin10100001010000…
…011100010100101
3212120100100002212
4110022003202211
51143033232021
653320213205
711244325166
oct2412034245
9776310085
10338180261
11163991921
129530a205
13550a8283
1432cb176d
151ea5185b
hex142838a5

338180261 has 2 divisors, whose sum is σ = 338180262. Its totient is φ = 338180260.

The previous prime is 338180257. The next prime is 338180267. The reversal of 338180261 is 162081833.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310816900 + 27363361 = 17630^2 + 5231^2 .

It is an emirp because it is prime and its reverse (162081833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 338180261 - 22 = 338180257 is a prime.

It is a super-2 number, since 2×3381802612 = 228731777860056242, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338180267) 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, 169090130 + 169090131.

It is an arithmetic number, because the mean of its divisors is an integer number (169090131).

Almost surely, 2338180261 is an apocalyptic number.

It is an amenable number.

338180261 is a deficient number, since it is larger than the sum of its proper divisors (1).

338180261 is an equidigital number, since it uses as much as digits as its factorization.

338180261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 338180261 is about 18389.6781102878. The cubic root of 338180261 is about 696.7057876838.

The spelling of 338180261 in words is "three hundred thirty-eight million, one hundred eighty thousand, two hundred sixty-one".