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34073041 = 37224889
BaseRepresentation
bin1000000111111…
…0100111010001
32101010002102111
42001332213101
532210314131
63214145321
7562421212
oct201764721
971102374
1034073041
1118262642
12b4b2241
13709cb82
14474d409
152ed0ab1
hex207e9d1

34073041 has 6 divisors (see below), whose sum is σ = 35020230. Its totient is φ = 33150816.

The previous prime is 34073029. The next prime is 34073047. The reversal of 34073041 is 14037043.

It is a happy number.

34073041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7447441 + 26625600 = 2729^2 + 5160^2 .

It is a de Polignac number, because none of the positive numbers 2k-34073041 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34073047) 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 in 5 ways as a sum of consecutive naturals, for example, 11076 + ... + 13813.

It is an arithmetic number, because the mean of its divisors is an integer number (5836705).

Almost surely, 234073041 is an apocalyptic number.

It is an amenable number.

34073041 is a deficient number, since it is larger than the sum of its proper divisors (947189).

34073041 is an equidigital number, since it uses as much as digits as its factorization.

34073041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24963 (or 24926 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 34073041 is about 5837.2117487718. The cubic root of 34073041 is about 324.1929989939.

The spelling of 34073041 in words is "thirty-four million, seventy-three thousand, forty-one".

Divisors: 1 37 1369 24889 920893 34073041