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34122241 = 296119289
BaseRepresentation
bin1000001000101…
…0101000000001
32101012120220201
42002022220001
532213402431
63215205201
7563014516
oct202125001
971176821
1034122241
11182965aa
12b516801
1370b939a
14476330d
152ee0461
hex208aa01

34122241 has 8 divisors (see below), whose sum is σ = 35879400. Its totient is φ = 32403840.

The previous prime is 34122239. The next prime is 34122259. The reversal of 34122241 is 14222143.

It can be written as a sum of positive squares in 4 ways, for example, as 1392400 + 32729841 = 1180^2 + 5721^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34122241 - 21 = 34122239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34122211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7876 + ... + 11413.

It is an arithmetic number, because the mean of its divisors is an integer number (4484925).

Almost surely, 234122241 is an apocalyptic number.

It is an amenable number.

34122241 is a deficient number, since it is larger than the sum of its proper divisors (1757159).

34122241 is a wasteful number, since it uses less digits than its factorization.

34122241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19379.

The product of its digits is 384, while the sum is 19.

The square root of 34122241 is about 5841.4245694009. The cubic root of 34122241 is about 324.3489641799.

Adding to 34122241 its reverse (14222143), we get a palindrome (48344384).

The spelling of 34122241 in words is "thirty-four million, one hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 29 61 1769 19289 559381 1176629 34122241