Base | Representation |
---|---|
bin | 10100011111110… |
… | …110101010000000 |
3 | 212222002122210010 |
4 | 110133312222000 |
5 | 1201014112111 |
6 | 54042504520 |
7 | 11344025220 |
oct | 2437665200 |
9 | 788078703 |
10 | 343894656 |
11 | 167135166 |
12 | 97205140 |
13 | 56329281 |
14 | 3395c080 |
15 | 202ceaa6 |
hex | 147f6a80 |
343894656 has 128 divisors (see below), whose sum is σ = 1077903360. Its totient is φ = 95063040.
The previous prime is 343894651. The next prime is 343894703. The reversal of 343894656 is 656498343.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is not an unprimeable number, because it can be changed into a prime (343894651) 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, 81265 + ... + 85391.
It is an arithmetic number, because the mean of its divisors is an integer number (8421120).
Almost surely, 2343894656 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 343894656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538951680).
343894656 is an abundant number, since it is smaller than the sum of its proper divisors (734008704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343894656 is a wasteful number, since it uses less digits than its factorization.
343894656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4182 (or 4170 counting only the distinct ones).
The product of its digits is 1866240, while the sum is 48.
The square root of 343894656 is about 18544.3968896268. The cubic root of 343894656 is about 700.6080811385.
The spelling of 343894656 in words is "three hundred forty-three million, eight hundred ninety-four thousand, six hundred fifty-six".
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