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34345062234 = 234793732323
BaseRepresentation
bin11111111111001000…
…000000111101011010
310021122120021221020000
4133333020000331122
51030314313442414
623440005513430
72324050132530
oct377710007532
9107576257200
1034345062234
111362498a65a
1267a6112876
133314631342
14193b542150
15d6030eb09
hex7ff200f5a

34345062234 has 80 divisors (see below), whose sum is σ = 88049024448. Its totient is φ = 9802099008.

The previous prime is 34345062233. The next prime is 34345062253. The reversal of 34345062234 is 43226054343.

It is not an unprimeable number, because it can be changed into a prime (34345062233) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1046397 + ... + 1078719.

Almost surely, 234345062234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345062234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44024512224).

34345062234 is an abundant number, since it is smaller than the sum of its proper divisors (53703962214).

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

34345062234 is a wasteful number, since it uses less digits than its factorization.

34345062234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33281 (or 33272 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 34345062234 in words is "thirty-four billion, three hundred forty-five million, sixty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 937 1134 1874 2811 5622 6559 8433 13118 16866 19677 25299 32323 39354 50598 59031 64646 75897 96969 118062 151794 177093 193938 226261 290907 354186 452522 531279 581814 678783 872721 1062558 1357566 1745442 2036349 2618163 4072698 5236326 6109047 12218094 18327141 30286651 36654282 60573302 90859953 181719906 212006557 272579859 424013114 545159718 636019671 817739577 1272039342 1635479154 1908059013 2453218731 3816118026 4906437462 5724177039 11448354078 17172531117 34345062234