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34122621 = 31321737107
BaseRepresentation
bin1000001000101…
…0101101111101
32101012121102210
42002022231331
532213410441
63215211033
7563015601
oct202125575
971177383
1034122621
1118296915
12b516a79
1370b9600
144763501
152ee0616
hex208ab7d

34122621 has 48 divisors (see below), whose sum is σ = 54074304. Its totient is φ = 19049472.

The previous prime is 34122581. The next prime is 34122623. The reversal of 34122621 is 12622143.

34122621 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34122621 - 213 = 34114429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122623) 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 47 ways as a sum of consecutive naturals, for example, 318850 + ... + 318956.

It is an arithmetic number, because the mean of its divisors is an integer number (1126548).

Almost surely, 234122621 is an apocalyptic number.

It is an amenable number.

34122621 is a deficient number, since it is larger than the sum of its proper divisors (19951683).

34122621 is a wasteful number, since it uses less digits than its factorization.

34122621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 34122621 is about 5841.4570956226. The cubic root of 34122621 is about 324.3501682054.

Adding to 34122621 its reverse (12622143), we get a palindrome (46744764).

It can be divided in two parts, 34122 and 621, that added together give a palindrome (34743).

The spelling of 34122621 in words is "thirty-four million, one hundred twenty-two thousand, six hundred twenty-one".

Divisors: 1 3 13 17 37 39 51 107 111 169 221 321 481 507 629 663 1391 1443 1819 1887 2873 3959 4173 5457 6253 8177 8619 11877 18083 18759 23647 24531 51467 54249 67303 70941 106301 154401 201909 307411 318903 669071 874939 922233 2007213 2624817 11374207 34122621