Search a number
-
+
34401821 is a prime number
BaseRepresentation
bin1000001100111…
…0111000011101
32101201210102112
42003032320131
532301324241
63225203405
7565260566
oct203167035
971653375
1034401821
1118467663
12b630565
13718670c
1447d716d
1530481eb
hex20cee1d

34401821 has 2 divisors, whose sum is σ = 34401822. Its totient is φ = 34401820.

The previous prime is 34401811. The next prime is 34401827. The reversal of 34401821 is 12810443.

34401821 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., 30096196 + 4305625 = 5486^2 + 2075^2 .

It is a cyclic number.

It is not a de Polignac number, because 34401821 - 222 = 30207517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34401827) 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, 17200910 + 17200911.

It is an arithmetic number, because the mean of its divisors is an integer number (17200911).

Almost surely, 234401821 is an apocalyptic number.

It is an amenable number.

34401821 is a deficient number, since it is larger than the sum of its proper divisors (1).

34401821 is an equidigital number, since it uses as much as digits as its factorization.

34401821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 34401821 is about 5865.3065563532. The cubic root of 34401821 is about 325.2324049726.

The spelling of 34401821 in words is "thirty-four million, four hundred one thousand, eight hundred twenty-one".