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347061066 = 231147532111
BaseRepresentation
bin10100101011111…
…011101101001010
3220012001112021120
4110223323231022
51202321423231
654234420110
711412653562
oct2453735512
9805045246
10347061066
111689a8130
1298291636
1356b975a1
1434143da2
1520707d96
hex14afbb4a

347061066 has 64 divisors (see below), whose sum is σ = 788299776. Its totient is φ = 100942400.

The previous prime is 347061061. The next prime is 347061079. The reversal of 347061066 is 660160743.

347061066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (347061061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163351 + ... + 165461.

It is an arithmetic number, because the mean of its divisors is an integer number (12317184).

Almost surely, 2347061066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 347061066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394149888).

347061066 is an abundant number, since it is smaller than the sum of its proper divisors (441238710).

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

347061066 is a wasteful number, since it uses less digits than its factorization.

347061066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 347061066 is about 18629.5750354108. The cubic root of 347061066 is about 702.7517980531.

The spelling of 347061066 in words is "three hundred forty-seven million, sixty-one thousand, sixty-six".

Divisors: 1 2 3 6 11 22 33 47 53 66 94 106 141 159 282 318 517 583 1034 1166 1551 1749 2111 2491 3102 3498 4222 4982 6333 7473 12666 14946 23221 27401 46442 54802 69663 82203 99217 111883 139326 164406 198434 223766 297651 335649 595302 671298 1091387 1230713 2182774 2461426 3274161 3692139 5258501 6548322 7384278 10517002 15775503 31551006 57843511 115687022 173530533 347061066