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34401641 is a prime number
BaseRepresentation
bin1000001100111…
…0110101101001
32101201210011212
42003032311221
532301323031
63225202505
7565260221
oct203166551
971653155
1034401641
111846750a
12b630435
137186601
1447d7081
15304812b
hex20ced69

34401641 has 2 divisors, whose sum is σ = 34401642. Its totient is φ = 34401640.

The previous prime is 34401617. The next prime is 34401707. The reversal of 34401641 is 14610443.

34401641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23078416 + 11323225 = 4804^2 + 3365^2 .

It is a cyclic number.

It is not a de Polignac number, because 34401641 - 214 = 34385257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34407641) 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, 17200820 + 17200821.

It is an arithmetic number, because the mean of its divisors is an integer number (17200821).

Almost surely, 234401641 is an apocalyptic number.

It is an amenable number.

34401641 is a deficient number, since it is larger than the sum of its proper divisors (1).

34401641 is an equidigital number, since it uses as much as digits as its factorization.

34401641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 34401641 is about 5865.2912118666. The cubic root of 34401641 is about 325.2318377358.

The spelling of 34401641 in words is "thirty-four million, four hundred one thousand, six hundred forty-one".