Base | Representation |
---|---|
bin | 10100011100110… |
… | …010001111100000 |
3 | 212220120210012101 |
4 | 110130302033200 |
5 | 1200312341034 |
6 | 54013340144 |
7 | 11334134545 |
oct | 2434621740 |
9 | 786523171 |
10 | 343090144 |
11 | 166735781 |
12 | 96a97654 |
13 | 56107027 |
14 | 337ccbcc |
15 | 201c1514 |
hex | 147323e0 |
343090144 has 96 divisors (see below), whose sum is σ = 745113600. Its totient is φ = 154897920.
The previous prime is 343090123. The next prime is 343090157. The reversal of 343090144 is 441090343.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2054349 + ... + 2054515.
It is an arithmetic number, because the mean of its divisors is an integer number (7761600).
Almost surely, 2343090144 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 343090144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372556800).
343090144 is an abundant number, since it is smaller than the sum of its proper divisors (402023456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343090144 is a wasteful number, since it uses less digits than its factorization.
343090144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 336 (or 328 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 28.
The square root of 343090144 is about 18522.6926768221. The cubic root of 343090144 is about 700.0613170777.
The spelling of 343090144 in words is "three hundred forty-three million, ninety thousand, one hundred forty-four".
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