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34389684 = 2234759257
BaseRepresentation
bin1000001100101…
…1111010110100
32101201011210000
42003023322310
532300432214
63225031300
7565210320
oct203137264
971634700
1034389684
111845952a
12b625530
137181034
1447d2980
153044809
hex20cbeb4

34389684 has 120 divisors (see below), whose sum is σ = 104892480. Its totient is φ = 9621504.

The previous prime is 34389683. The next prime is 34389697. The reversal of 34389684 is 48698343.

34389684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34389683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133684 + ... + 133940.

It is an arithmetic number, because the mean of its divisors is an integer number (874104).

Almost surely, 234389684 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 34389684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52446240).

34389684 is an abundant number, since it is smaller than the sum of its proper divisors (70502796).

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

34389684 is a wasteful number, since it uses less digits than its factorization.

34389684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 34389684 is about 5864.2718218036. The cubic root of 34389684 is about 325.1941530246.

The spelling of 34389684 in words is "thirty-four million, three hundred eighty-nine thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 81 84 108 118 126 162 177 189 236 252 257 324 354 378 413 514 531 567 708 756 771 826 1028 1062 1134 1239 1542 1593 1652 1799 2124 2268 2313 2478 3084 3186 3598 3717 4626 4779 4956 5397 6372 6939 7196 7434 9252 9558 10794 11151 13878 14868 15163 16191 19116 20817 21588 22302 27756 30326 32382 33453 41634 44604 45489 48573 60652 64764 66906 83268 90978 97146 106141 133812 136467 145719 181956 194292 212282 272934 291438 318423 409401 424564 545868 582876 636846 818802 955269 1228203 1273692 1637604 1910538 2456406 2865807 3821076 4912812 5731614 8597421 11463228 17194842 34389684