Search a number
-
+
3728141 is a prime number
BaseRepresentation
bin1110001110001100001101
321000102001022
432032030031
51423300031
6211523525
743455134
oct16161415
97012038
103728141
11211700a
1212b95a5
13a06c01
146d091b
154d997b
hex38e30d

3728141 has 2 divisors, whose sum is σ = 3728142. Its totient is φ = 3728140.

The previous prime is 3728113. The next prime is 3728149. The reversal of 3728141 is 1418273.

3728141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2175625 + 1552516 = 1475^2 + 1246^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3728141 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3728141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3728149) 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, 1864070 + 1864071.

It is an arithmetic number, because the mean of its divisors is an integer number (1864071).

Almost surely, 23728141 is an apocalyptic number.

It is an amenable number.

3728141 is a deficient number, since it is larger than the sum of its proper divisors (1).

3728141 is an equidigital number, since it uses as much as digits as its factorization.

3728141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 26.

The square root of 3728141 is about 1930.8394547450. The cubic root of 3728141 is about 155.0591657582.

The spelling of 3728141 in words is "three million, seven hundred twenty-eight thousand, one hundred forty-one".