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34104294 = 2337212889
BaseRepresentation
bin1000001000011…
…0001111100110
32101011200022000
42002012033212
532212314134
63214550130
7562611300
oct202061746
971150260
1034104294
1118284074
12b508346
1370b1173
14475a970
152ed9e99
hex20863e6

34104294 has 48 divisors (see below), whose sum is σ = 88167600. Its totient is φ = 9743328.

The previous prime is 34104293. The next prime is 34104341. The reversal of 34104294 is 49240143.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34104293) 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 23 ways as a sum of consecutive naturals, for example, 3799 + ... + 9090.

It is an arithmetic number, because the mean of its divisors is an integer number (1836825).

Almost surely, 234104294 is an apocalyptic number.

34104294 is an abundant number, since it is smaller than the sum of its proper divisors (54063306).

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

34104294 is a wasteful number, since it uses less digits than its factorization.

34104294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12914 (or 12901 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34104294 is about 5839.8881838611. Note that the first 3 decimals coincide. The cubic root of 34104294 is about 324.2920891374.

The spelling of 34104294 in words is "thirty-four million, one hundred four thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 12889 25778 38667 77334 90223 116001 180446 232002 270669 348003 541338 631561 696006 812007 1263122 1624014 1894683 2436021 3789366 4872042 5684049 11368098 17052147 34104294