Search a number
-
+
68378441 is a prime number
BaseRepresentation
bin1000001001101…
…01111101001001
311202122222120212
410010311331021
5120001102231
610441330505
71460131025
oct404657511
9152588525
1068378441
113566380a
121aa96a35
1311221721
14911d385
15600a42b
hex4135f49

68378441 has 2 divisors, whose sum is σ = 68378442. Its totient is φ = 68378440.

The previous prime is 68378419. The next prime is 68378459. The reversal of 68378441 is 14487386.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43178041 + 25200400 = 6571^2 + 5020^2 .

It is a cyclic number.

It is not a de Polignac number, because 68378441 - 222 = 64184137 is a prime.

It is a super-2 number, since 2×683784412 = 9351222387180962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (68378411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34189220 + 34189221.

It is an arithmetic number, because the mean of its divisors is an integer number (34189221).

Almost surely, 268378441 is an apocalyptic number.

It is an amenable number.

68378441 is a deficient number, since it is larger than the sum of its proper divisors (1).

68378441 is an equidigital number, since it uses as much as digits as its factorization.

68378441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129024, while the sum is 41.

The square root of 68378441 is about 8269.1257699953. The cubic root of 68378441 is about 408.9212988935.

The spelling of 68378441 in words is "sixty-eight million, three hundred seventy-eight thousand, four hundred forty-one".