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34093304 = 2373141479
BaseRepresentation
bin1000001000001…
…1100011111000
32101011010012222
42002003203320
532211441204
63214423212
7562534250
oct202034370
971133188
1034093304
1118276893
12b501b08
1370a916b
144756960
152ed6abe
hex20838f8

34093304 has 64 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 13766400.

The previous prime is 34093289. The next prime is 34093307. The reversal of 34093304 is 40339043.

Together with 43321095 it forms a betrothed pair.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34093307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70937 + ... + 71415.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 234093304 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 34093304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

34093304 is an abundant number, since it is smaller than the sum of its proper divisors (43321096).

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

34093304 is a wasteful number, since it uses less digits than its factorization.

34093304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 34093304 is about 5838.9471653715. The cubic root of 34093304 is about 324.2572513644.

The spelling of 34093304 in words is "thirty-four million, ninety-three thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 31 41 56 62 82 124 164 217 248 287 328 434 479 574 868 958 1148 1271 1736 1916 2296 2542 3353 3832 5084 6706 8897 10168 13412 14849 17794 19639 26824 29698 35588 39278 59396 71176 78556 103943 118792 137473 157112 207886 274946 415772 549892 608809 831544 1099784 1217618 2435236 4261663 4870472 8523326 17046652 34093304