Base | Representation |
---|---|
bin | 10100011010111… |
… | …11000101101000 |
3 | 102221100022112100 |
4 | 22031133011220 |
5 | 322323313433 |
6 | 24555413400 |
7 | 4150042251 |
oct | 1215370550 |
9 | 387308470 |
10 | 171307368 |
11 | 88775841 |
12 | 49454260 |
13 | 2964c40b |
14 | 18a73b28 |
15 | 1008cb13 |
hex | a35f168 |
171307368 has 96 divisors (see below), whose sum is σ = 494699400. Its totient is φ = 53366784.
The previous prime is 171307361. The next prime is 171307369. The reversal of 171307368 is 863703171.
171307368 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 163788804 + 7518564 = 12798^2 + 2742^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (171307361) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211348 + ... + 212156.
Almost surely, 2171307368 is an apocalyptic number.
171307368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 171307368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247349700).
171307368 is an abundant number, since it is smaller than the sum of its proper divisors (323392032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
171307368 is a wasteful number, since it uses less digits than its factorization.
171307368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1011 (or 1004 counting only the distinct ones).
The product of its (nonzero) digits is 21168, while the sum is 36.
The square root of 171307368 is about 13088.4440633713. Note that the first 3 decimals coincide. The cubic root of 171307368 is about 555.3822737681.
The spelling of 171307368 in words is "one hundred seventy-one million, three hundred seven thousand, three hundred sixty-eight".
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