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34313070 = 23511103979
BaseRepresentation
bin1000001011100…
…1001101101110
32101120021200110
42002321031232
532241004240
63223240450
7564441051
oct202711556
971507613
1034313070
1118406a10
12b5a9126
1371551bc
1447b2a98
15302bc80
hex20b936e

34313070 has 32 divisors (see below), whose sum is σ = 89838720. Its totient is φ = 8318240.

The previous prime is 34313053. The next prime is 34313077. The reversal of 34313070 is 7031343.

34313070 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 (34313077) 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, 51660 + ... + 52319.

It is an arithmetic number, because the mean of its divisors is an integer number (2807460).

Almost surely, 234313070 is an apocalyptic number.

34313070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34313070 is an abundant number, since it is smaller than the sum of its proper divisors (55525650).

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

34313070 is a wasteful number, since it uses less digits than its factorization.

34313070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104000.

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 34313070 is about 5857.7359107423. The cubic root of 34313070 is about 324.9524822047.

The spelling of 34313070 in words is "thirty-four million, three hundred thirteen thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 103979 207958 311937 519895 623874 1039790 1143769 1559685 2287538 3119370 3431307 5718845 6862614 11437690 17156535 34313070