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34447868 = 22713101937
BaseRepresentation
bin1000001101101…
…0000111111100
32101211010120222
42003122013330
532304312433
63230200512
7565542050
oct203320774
971733528
1034447868
1118499214
12b653138
1371a1670
144809c60
153056b98
hex20da1fc

34447868 has 48 divisors (see below), whose sum is σ = 75009984. Its totient is φ = 13478400.

The previous prime is 34447867. The next prime is 34447873. The reversal of 34447868 is 86874443.

34447868 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 (34447867) 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 15 ways as a sum of consecutive naturals, for example, 36296 + ... + 37232.

It is an arithmetic number, because the mean of its divisors is an integer number (1562708).

Almost surely, 234447868 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 34447868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37504992).

34447868 is an abundant number, since it is smaller than the sum of its proper divisors (40562116).

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

34447868 is a wasteful number, since it uses less digits than its factorization.

34447868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1060 counting only the distinct ones).

The product of its digits is 516096, while the sum is 44.

The square root of 34447868 is about 5869.2306139732. The cubic root of 34447868 is about 325.3774486483.

The spelling of 34447868 in words is "thirty-four million, four hundred forty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 404 707 937 1313 1414 1874 2626 2828 3748 5252 6559 9191 12181 13118 18382 24362 26236 36764 48724 85267 94637 170534 189274 341068 378548 662459 1230281 1324918 2460562 2649836 4921124 8611967 17223934 34447868