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350105416344 = 23331620858409
BaseRepresentation
bin1010001100000111110…
…10001011001010011000
31020110200110002220102000
411012003322023022120
521214003441310334
6424500342041000
734202636636355
oct5060372131230
91213613086360
10350105416344
1112552a4201a2
1257a29719160
132702668a568
1412d3387362c
159191428299
hex5183e8b298

350105416344 has 32 divisors (see below), whose sum is σ = 972515046000. Its totient is φ = 116701805376.

The previous prime is 350105416343. The next prime is 350105416363. The reversal of 350105416344 is 443614501053.

350105416344 is a `hidden beast` number, since 3 + 5 + 0 + 10 + 5 + 4 + 1 + 634 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 350105416299 and 350105416308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350105416343) 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 7 ways as a sum of consecutive naturals, for example, 810428989 + ... + 810429420.

Almost surely, 2350105416344 is an apocalyptic number.

It is an amenable number.

350105416344 is an abundant number, since it is smaller than the sum of its proper divisors (622409629656).

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

350105416344 is a wasteful number, since it uses less digits than its factorization.

350105416344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620858424 (or 1620858414 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 350105416344 its reverse (443614501053), we get a palindrome (793719917397).

The spelling of 350105416344 in words is "three hundred fifty billion, one hundred five million, four hundred sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1620858409 3241716818 4862575227 6483433636 9725150454 12966867272 14587725681 19450300908 29175451362 38900601816 43763177043 58350902724 87526354086 116701805448 175052708172 350105416344