Base | Representation |
---|---|
bin | 10010000000000… |
… | …000000000000000 |
3 | 210001020200020200 |
4 | 102000000000000 |
5 | 1104302134023 |
6 | 45544405200 |
7 | 10324604664 |
oct | 2200000000 |
9 | 701220220 |
10 | 301989888 |
11 | 145513522 |
12 | 85176800 |
13 | 4a746755 |
14 | 2c1708a4 |
15 | 1b7a3743 |
hex | 12000000 |
301989888 has 78 divisors (see below), whose sum is σ = 872415219. Its totient is φ = 100663296.
The previous prime is 301989881. The next prime is 301989917. The reversal of 301989888 is 888989103.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Jordan-Polya number, since it can be written as (4!)2 ⋅ (2!)19.
It can be written as a sum of positive squares in only one way, i.e., 150994944 + 150994944 = 12288^2 + 12288^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=12288.
It is a nialpdrome in base 8.
It is a zygodrome in base 8.
It is not an unprimeable number, because it can be changed into a prime (301989881) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 100663295 + 100663296 + 100663297.
Almost surely, 2301989888 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 301989888
301989888 is an abundant number, since it is smaller than the sum of its proper divisors (570425331).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
301989888 is an frugal number, since it uses more digits than its factorization.
301989888 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 56 (or 5 counting only the distinct ones).
The product of its (nonzero) digits is 995328, while the sum is 54.
The square root of 301989888 is about 17377.8562544406. The cubic root of 301989888 is about 670.9097969175.
The spelling of 301989888 in words is "three hundred one million, nine hundred eighty-nine thousand, eight hundred eighty-eight".
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