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34110041 = 7173761127
BaseRepresentation
bin1000001000011…
…1101001011001
32101011222011212
42002013221121
532213010131
63215032505
7562634120
oct202075131
971158155
1034110041
1118288419
12b50b735
1370b3974
14475cab7
152edba2b
hex2087a59

34110041 has 32 divisors (see below), whose sum is σ = 43425792. Its totient is φ = 26127360.

The previous prime is 34110029. The next prime is 34110047. The reversal of 34110041 is 14001143.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-34110041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34109998 and 34110025.

It is not an unprimeable number, because it can be changed into a prime (34110047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268520 + ... + 268646.

It is an arithmetic number, because the mean of its divisors is an integer number (1357056).

Almost surely, 234110041 is an apocalyptic number.

It is an amenable number.

34110041 is a deficient number, since it is larger than the sum of its proper divisors (9315751).

34110041 is a wasteful number, since it uses less digits than its factorization.

34110041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 34110041 is about 5840.3802102260. The cubic root of 34110041 is about 324.3103038717.

Adding to 34110041 its reverse (14001143), we get a palindrome (48111184).

The spelling of 34110041 in words is "thirty-four million, one hundred ten thousand, forty-one".

Divisors: 1 7 17 37 61 119 127 259 427 629 889 1037 2159 2257 4403 4699 7259 7747 15113 15799 32893 38369 54229 79883 131699 268583 286639 559181 921893 2006473 4872863 34110041