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350150166 = 232372811871
BaseRepresentation
bin10100110111101…
…101111000010110
3220101212110201200
4110313231320112
51204114301131
654424533330
711451140652
oct2467557026
9811773650
10350150166
1116a718003
1299321246
1357709662
1434709a62
1520b182e6
hex14dede16

350150166 has 48 divisors (see below), whose sum is σ = 782353728. Its totient is φ = 113097600.

The previous prime is 350150123. The next prime is 350150167. The reversal of 350150166 is 661051053.

It is a happy number.

350150166 is a `hidden beast` number, since 350 + 150 + 166 = 666.

350150166 is digitally balanced in base 3, 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 (350150167) 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 23 ways as a sum of consecutive naturals, for example, 186211 + ... + 188081.

It is an arithmetic number, because the mean of its divisors is an integer number (16299036).

Almost surely, 2350150166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350150166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391176864).

350150166 is an abundant number, since it is smaller than the sum of its proper divisors (432203562).

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

350150166 is a wasteful number, since it uses less digits than its factorization.

350150166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 350150166 is about 18712.2998586491. The cubic root of 350150166 is about 704.8306459064.

The spelling of 350150166 in words is "three hundred fifty million, one hundred fifty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 281 333 562 666 843 1686 1871 2529 3742 5058 5613 10397 11226 16839 20794 31191 33678 62382 69227 93573 138454 187146 207681 415362 525751 623043 1051502 1246086 1577253 3154506 4731759 9463518 19452787 38905574 58358361 116716722 175075083 350150166