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34110012 = 22323831489
BaseRepresentation
bin1000001000011…
…1101000111100
32101011222010210
42002013220330
532213010022
63215032420
7562634046
oct202075074
971158123
1034110012
11182883a2
12b50b710
1370b3951
14475ca96
152edba0c
hex2087a3c

34110012 has 48 divisors (see below), whose sum is σ = 84107520. Its totient is φ = 10737408.

The previous prime is 34109987. The next prime is 34110017. The reversal of 34110012 is 21001143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 34110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34110017) 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 15 ways as a sum of consecutive naturals, for example, 22164 + ... + 23652.

It is an arithmetic number, because the mean of its divisors is an integer number (1752240).

Almost surely, 234110012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42053760).

34110012 is an abundant number, since it is smaller than the sum of its proper divisors (49997508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34110012 is a wasteful number, since it uses less digits than its factorization.

34110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 34110012 is about 5840.3777275104. The cubic root of 34110012 is about 324.3102119633.

Adding to 34110012 its reverse (21001143), we get a palindrome (55111155).

The spelling of 34110012 in words is "thirty-four million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 138 166 249 276 332 498 996 1489 1909 2978 3818 4467 5727 5956 7636 8934 11454 17868 22908 34247 68494 102741 123587 136988 205482 247174 370761 410964 494348 741522 1483044 2842501 5685002 8527503 11370004 17055006 34110012