Search a number
-
+
3438208541 is a prime number
BaseRepresentation
bin1100110011101110…
…1110011000011101
322212121121002110002
43030323232120131
524020140133131
61325100424045
7151126201415
oct31473563035
98777532402
103438208541
111504862a69
127bb548025
1342a413131
142488b5645
15151ca36cb
hexcceee61d

3438208541 has 2 divisors, whose sum is σ = 3438208542. Its totient is φ = 3438208540.

The previous prime is 3438208513. The next prime is 3438208549. The reversal of 3438208541 is 1458028343.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3428102500 + 10106041 = 58550^2 + 3179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3438208541 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3438208495 and 3438208504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3438208549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1719104270 + 1719104271.

It is an arithmetic number, because the mean of its divisors is an integer number (1719104271).

Almost surely, 23438208541 is an apocalyptic number.

It is an amenable number.

3438208541 is a deficient number, since it is larger than the sum of its proper divisors (1).

3438208541 is an equidigital number, since it uses as much as digits as its factorization.

3438208541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 3438208541 is about 58636.2391444063. The cubic root of 3438208541 is about 1509.3063698738.

The spelling of 3438208541 in words is "three billion, four hundred thirty-eight million, two hundred eight thousand, five hundred forty-one".