Base | Representation |
---|---|
bin | 1111111110010… |
… | …1100110011110 |
3 | 11200001222201200 |
4 | 3333211212132 |
5 | 114123010414 |
6 | 10352020330 |
7 | 1442332263 |
oct | 377454636 |
9 | 150058650 |
10 | 67000734 |
11 | 34902709 |
12 | 1a5316a6 |
13 | 10b5b608 |
14 | 8c8126a |
15 | 5d37109 |
hex | 3fe599e |
67000734 has 48 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 21453840.
The previous prime is 67000733. The next prime is 67000763. The reversal of 67000734 is 43700076.
It is a junction number, because it is equal to n+sod(n) for n = 67000698 and 67000707.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (67000733) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92827 + ... + 93545.
It is an arithmetic number, because the mean of its divisors is an integer number (3144960).
Almost surely, 267000734 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 67000734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).
67000734 is an abundant number, since it is smaller than the sum of its proper divisors (83957346).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67000734 is a wasteful number, since it uses less digits than its factorization.
67000734 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 925 (or 922 counting only the distinct ones).
The product of its (nonzero) digits is 3528, while the sum is 27.
The square root of 67000734 is about 8185.3976079357. The cubic root of 67000734 is about 406.1562932114.
The spelling of 67000734 in words is "sixty-seven million, seven hundred thirty-four", and thus it is an aban number.
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