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34290841 = 1353157317
BaseRepresentation
bin1000001011001…
…1110010011001
32101112011012011
42002303302121
532234301331
63222545521
7564316204
oct202636231
971464164
1034290841
11183a1242
12b5982a1
137148050
1447a893b
1530253b1
hex20b3c99

34290841 has 16 divisors (see below), whose sum is σ = 37984464. Its totient is φ = 30760704.

The previous prime is 34290829. The next prime is 34290857. The reversal of 34290841 is 14809243.

It can be written as a sum of positive squares in 8 ways, for example, as 6780816 + 27510025 = 2604^2 + 5245^2 .

It is not a de Polignac number, because 34290841 - 215 = 34258073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34290881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108015 + ... + 108331.

It is an arithmetic number, because the mean of its divisors is an integer number (2374029).

Almost surely, 234290841 is an apocalyptic number.

It is an amenable number.

34290841 is a deficient number, since it is larger than the sum of its proper divisors (3693623).

34290841 is a wasteful number, since it uses less digits than its factorization.

34290841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 34290841 is about 5855.8381979013. The cubic root of 34290841 is about 324.8822958382.

The spelling of 34290841 in words is "thirty-four million, two hundred ninety thousand, eight hundred forty-one".

Divisors: 1 13 53 157 317 689 2041 4121 8321 16801 49769 108173 218413 646997 2637757 34290841