Base | Representation |
---|---|
bin | 1010010010010… |
… | …0010100100000 |
3 | 10000011202111000 |
4 | 2210210110200 |
5 | 42020443014 |
6 | 4140352000 |
7 | 1032454500 |
oct | 244442440 |
9 | 100152430 |
10 | 43140384 |
11 | 22396011 |
12 | 12545600 |
13 | 8c26071 |
14 | 5a2da00 |
15 | 3bc2509 |
hex | 2924520 |
43140384 has 144 divisors (see below), whose sum is σ = 146512800. Its totient is φ = 12313728.
The previous prime is 43140353. The next prime is 43140389. The reversal of 43140384 is 48304134.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×431403842 = 3722185463334912, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (43140389) 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, 41827 + ... + 42845.
It is an arithmetic number, because the mean of its divisors is an integer number (1017450).
Almost surely, 243140384 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 43140384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73256400).
43140384 is an abundant number, since it is smaller than the sum of its proper divisors (103372416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
43140384 is a wasteful number, since it uses less digits than its factorization.
43140384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1052 (or 1031 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 43140384 is about 6568.1339815811. The cubic root of 43140384 is about 350.7206485028.
The spelling of 43140384 in words is "forty-three million, one hundred forty thousand, three hundred eighty-four".
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