Search a number
-
+
34381 is a prime number
BaseRepresentation
bin1000011001001101
31202011101
420121031
52100011
6423101
7202144
oct103115
952141
1034381
1123916
1217a91
1312859
14c75b
15a2c1
hex864d

34381 has 2 divisors, whose sum is σ = 34382. Its totient is φ = 34380.

The previous prime is 34369. The next prime is 34403. The reversal of 34381 is 18343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 11881 = 150^2 + 109^2 .

It is a cyclic number.

It is not a de Polignac number, because 34381 - 27 = 34253 is a prime.

It is a super-2 number, since 2×343812 = 2364106322, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17190 + 17191.

It is an arithmetic number, because the mean of its divisors is an integer number (17191).

234381 is an apocalyptic number.

It is an amenable number.

34381 is a deficient number, since it is larger than the sum of its proper divisors (1).

34381 is an equidigital number, since it uses as much as digits as its factorization.

34381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 19.

The square root of 34381 is about 185.4211422681. The cubic root of 34381 is about 32.5166778306.

It can be divided in two parts, 343 and 81, that added together give a palindrome (424).

The spelling of 34381 in words is "thirty-four thousand, three hundred eighty-one".