Base | Representation |
---|---|
bin | 10100011001111… |
… | …010100110110000 |
3 | 212212011120102000 |
4 | 110121322212300 |
5 | 1200114303333 |
6 | 53545254000 |
7 | 11324552610 |
oct | 2431724660 |
9 | 785146360 |
10 | 342337968 |
11 | 166271645 |
12 | 96794300 |
13 | 55c0285b |
14 | 33674a40 |
15 | 200c3713 |
hex | 1467a9b0 |
342337968 has 160 divisors (see below), whose sum is σ = 1138022400. Its totient is φ = 96505344.
The previous prime is 342337951. The next prime is 342337973. The reversal of 342337968 is 869733243.
342337968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238180 + ... + 239612.
It is an arithmetic number, because the mean of its divisors is an integer number (7112640).
Almost surely, 2342337968 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 342337968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569011200).
342337968 is an abundant number, since it is smaller than the sum of its proper divisors (795684432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
342337968 is a wasteful number, since it uses less digits than its factorization.
342337968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1536 (or 1524 counting only the distinct ones).
The product of its digits is 653184, while the sum is 45.
The square root of 342337968 is about 18502.3773607610. The cubic root of 342337968 is about 699.5493480329.
The spelling of 342337968 in words is "three hundred forty-two million, three hundred thirty-seven thousand, nine hundred sixty-eight".
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