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34110054 = 23211199067
BaseRepresentation
bin1000001000011…
…1101001100110
32101011222012100
42002013221212
532213010204
63215032530
7562634136
oct202075146
971158170
1034110054
1118288430
12b50b746
1370b3984
14475cac6
152edba39
hex2087a66

34110054 has 48 divisors (see below), whose sum is σ = 84876480. Its totient is φ = 9791280.

The previous prime is 34110047. The next prime is 34110071. The reversal of 34110054 is 45001143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 772 + ... + 8295.

It is an arithmetic number, because the mean of its divisors is an integer number (1768260).

Almost surely, 234110054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34110054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42438240).

34110054 is an abundant number, since it is smaller than the sum of its proper divisors (50766426).

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

34110054 is a wasteful number, since it uses less digits than its factorization.

34110054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9105 (or 9102 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34110054 is about 5840.3813231672. The cubic root of 34110054 is about 324.3103450720.

Adding to 34110054 its reverse (45001143), we get a palindrome (79111197).

The spelling of 34110054 in words is "thirty-four million, one hundred ten thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 9067 18134 27201 54402 81603 99737 163206 172273 199474 299211 344546 516819 598422 897633 1033638 1550457 1795266 1895003 3100914 3790006 5685009 11370018 17055027 34110054