Search a number
-
+
34387637 is a prime number
BaseRepresentation
bin1000001100101…
…1011010110101
32101201001222012
42003023122311
532300401022
63225014005
7565201334
oct203133265
971631865
1034387637
1118457a39
12b624305
13718011b
1447d1d1b
153043de2
hex20cb6b5

34387637 has 2 divisors, whose sum is σ = 34387638. Its totient is φ = 34387636.

The previous prime is 34387609. The next prime is 34387657. The reversal of 34387637 is 73678343.

34387637 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., 32194276 + 2193361 = 5674^2 + 1481^2 .

It is a cyclic number.

It is not a de Polignac number, because 34387637 - 212 = 34383541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34387594 and 34387603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34387657) 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, 17193818 + 17193819.

It is an arithmetic number, because the mean of its divisors is an integer number (17193819).

Almost surely, 234387637 is an apocalyptic number.

It is an amenable number.

34387637 is a deficient number, since it is larger than the sum of its proper divisors (1).

34387637 is an equidigital number, since it uses as much as digits as its factorization.

34387637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 254016, while the sum is 41.

The square root of 34387637 is about 5864.0972877332. The cubic root of 34387637 is about 325.1877006474.

The spelling of 34387637 in words is "thirty-four million, three hundred eighty-seven thousand, six hundred thirty-seven".