Base | Representation |
---|---|
bin | 10100010001000… |
… | …101100010000000 |
3 | 212200210222110011 |
4 | 110101011202000 |
5 | 1144021222144 |
6 | 53423514304 |
7 | 11266102636 |
oct | 2421054200 |
9 | 780728404 |
10 | 340023424 |
11 | 164a306a4 |
12 | 95a58994 |
13 | 555a21c0 |
14 | 33231356 |
15 | 1ecb7a34 |
hex | 14445880 |
340023424 has 64 divisors (see below), whose sum is σ = 733463640. Its totient is φ = 156082176.
The previous prime is 340023413. The next prime is 340023433. The reversal of 340023424 is 424320043.
It can be written as a sum of positive squares in 4 ways, for example, as 244609600 + 95413824 = 15640^2 + 9768^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 340023395 and 340023404.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387274 + ... + 388150.
Almost surely, 2340023424 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 340023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366731820).
340023424 is an abundant number, since it is smaller than the sum of its proper divisors (393440216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
340023424 is a wasteful number, since it uses less digits than its factorization.
340023424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1137 (or 1125 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 22.
The square root of 340023424 is about 18439.7240760267. The cubic root of 340023424 is about 697.9692326129.
Adding to 340023424 its reverse (424320043), we get a palindrome (764343467).
The spelling of 340023424 in words is "three hundred forty million, twenty-three thousand, four hundred twenty-four".
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