Base | Representation |
---|---|
bin | 10100010010010… |
… | …110111110001000 |
3 | 212201102221000211 |
4 | 110102112332020 |
5 | 1144112411000 |
6 | 53435010504 |
7 | 11301662314 |
oct | 2422267610 |
9 | 781387024 |
10 | 340357000 |
11 | 165139285 |
12 | 95b99a34 |
13 | 5568ac99 |
14 | 332bab44 |
15 | 1ed317ba |
hex | 14496f88 |
340357000 has 64 divisors (see below), whose sum is σ = 843326640. Its totient is φ = 128128000.
The previous prime is 340356953. The next prime is 340357001. The reversal of 340357000 is 753043.
It can be written as a sum of positive squares in 8 ways, for example, as 544644 + 339812356 = 738^2 + 18434^2 .
It is not an unprimeable number, because it can be changed into a prime (340357001) by changing a digit.
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, 6990 + ... + 27010.
Almost surely, 2340357000 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 340357000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421663320).
340357000 is an abundant number, since it is smaller than the sum of its proper divisors (502969640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
340357000 is a wasteful number, since it uses less digits than its factorization.
340357000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20059 (or 20045 counting only the distinct ones).
The product of its (nonzero) digits is 1260, while the sum is 22.
The square root of 340357000 is about 18448.7668964622. The cubic root of 340357000 is about 698.1974028631.
The spelling of 340357000 in words is "three hundred forty million, three hundred fifty-seven thousand".
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