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34111105 = 572294801
BaseRepresentation
bin1000001000011…
…1111010000001
32101012000122021
42002013322001
532213023410
63215041441
7562640200
oct202077201
971160567
1034111105
11182891a6
12b510281
1370b42b2
14475d237
152edbeda
hex2087e81

34111105 has 24 divisors (see below), whose sum is σ = 49268520. Its totient is φ = 22579200.

The previous prime is 34111097. The next prime is 34111109. The reversal of 34111105 is 50111143.

It can be written as a sum of positive squares in 4 ways, for example, as 4528384 + 29582721 = 2128^2 + 5439^2 .

It is not a de Polignac number, because 34111105 - 23 = 34111097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34111109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4705 + ... + 9505.

It is an arithmetic number, because the mean of its divisors is an integer number (2052855).

Almost surely, 234111105 is an apocalyptic number.

34111105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34111105 is a deficient number, since it is larger than the sum of its proper divisors (15157415).

34111105 is a wasteful number, since it uses less digits than its factorization.

34111105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 34111105 is about 5840.4712994758. The cubic root of 34111105 is about 324.3136759245.

Adding to 34111105 its reverse (50111143), we get a palindrome (84222248).

The spelling of 34111105 in words is "thirty-four million, one hundred eleven thousand, one hundred five".

Divisors: 1 5 7 29 35 49 145 203 245 1015 1421 4801 7105 24005 33607 139229 168035 235249 696145 974603 1176245 4873015 6822221 34111105