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350117127 = 3329344257
BaseRepresentation
bin10100110111100…
…101110100000111
3220101210210102000
4110313211310013
51204112222002
654424120343
711450642433
oct2467456407
9811723360
10350117127
1116a6a51a8
12993060b3
13576c75c9
14346db9c3
1520b0d61c
hex14de5d07

350117127 has 16 divisors (see below), whose sum is σ = 520474080. Its totient is φ = 232609536.

The previous prime is 350117113. The next prime is 350117167. The reversal of 350117127 is 721711053.

It is a happy number.

It is not a de Polignac number, because 350117127 - 212 = 350113031 is a prime.

It is a super-3 number, since 3×3501171273 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 350117127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350117167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14218 + ... + 30039.

It is an arithmetic number, because the mean of its divisors is an integer number (32529630).

Almost surely, 2350117127 is an apocalyptic number.

350117127 is a deficient number, since it is larger than the sum of its proper divisors (170356953).

350117127 is a wasteful number, since it uses less digits than its factorization.

350117127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44559 (or 44553 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 350117127 is about 18711.4170227698. The cubic root of 350117127 is about 704.8084767207.

The spelling of 350117127 in words is "three hundred fifty million, one hundred seventeen thousand, one hundred twenty-seven".

Divisors: 1 3 9 27 293 879 2637 7911 44257 132771 398313 1194939 12967301 38901903 116705709 350117127