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34338105 = 3257310453
BaseRepresentation
bin1000001011111…
…1010100111001
32101121120000200
42002333110321
532242304410
63223552413
7564604044
oct202772471
971546020
1034338105
11184237aa
12b5bb709
137163709
1447bbc5b
1530343c0
hex20bf539

34338105 has 24 divisors (see below), whose sum is σ = 60340488. Its totient is φ = 18061056.

The previous prime is 34338071. The next prime is 34338121. The reversal of 34338105 is 50183343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13571856 + 20766249 = 3684^2 + 4557^2 .

It is not a de Polignac number, because 34338105 - 26 = 34338041 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1942 + ... + 8511.

It is an arithmetic number, because the mean of its divisors is an integer number (2514187).

Almost surely, 234338105 is an apocalyptic number.

It is an amenable number.

34338105 is a deficient number, since it is larger than the sum of its proper divisors (26002383).

34338105 is a wasteful number, since it uses less digits than its factorization.

34338105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10537 (or 10534 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34338105 is about 5859.8724388847. The cubic root of 34338105 is about 325.0314920174.

It can be divided in two parts, 34338 and 105, that added together give a palindrome (34443).

The spelling of 34338105 in words is "thirty-four million, three hundred thirty-eight thousand, one hundred five".

Divisors: 1 3 5 9 15 45 73 219 365 657 1095 3285 10453 31359 52265 94077 156795 470385 763069 2289207 3815345 6867621 11446035 34338105