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34116201 = 3372107241
BaseRepresentation
bin1000001000100…
…1001001101001
32101012021122000
42002021021221
532213204301
63215121213
7562661100
oct202111151
971167560
1034116201
1118292009
12b513209
1370b6702
144761037
152edd786
hex2089269

34116201 has 48 divisors (see below), whose sum is σ = 59590080. Its totient is φ = 19232640.

The previous prime is 34116197. The next prime is 34116211. The reversal of 34116201 is 10261143.

It is a happy number.

34116201 is a `hidden beast` number, since 3 + 41 + 1 + 620 + 1 = 666.

It is not a de Polignac number, because 34116201 - 22 = 34116197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34116211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141441 + ... + 141681.

It is an arithmetic number, because the mean of its divisors is an integer number (1241460).

Almost surely, 234116201 is an apocalyptic number.

It is an amenable number.

34116201 is a deficient number, since it is larger than the sum of its proper divisors (25473879).

34116201 is a wasteful number, since it uses less digits than its factorization.

34116201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 34116201 is about 5840.9075493454. The cubic root of 34116201 is about 324.3298253104.

Adding to 34116201 its reverse (10261143), we get a palindrome (44377344).

The spelling of 34116201 in words is "thirty-four million, one hundred sixteen thousand, two hundred one".

Divisors: 1 3 7 9 21 27 49 63 107 147 189 241 321 441 723 749 963 1323 1687 2169 2247 2889 5061 5243 6507 6741 11809 15183 15729 20223 25787 35427 45549 47187 77361 106281 141561 180509 232083 318843 541527 696249 1263563 1624581 3790689 4873743 11372067 34116201