Base | Representation |
---|---|
bin | 100111011100… |
… | …111010001000 |
3 | 201110102120221 |
4 | 213130322020 |
5 | 10121421044 |
6 | 1005355424 |
7 | 153622450 |
oct | 47347210 |
9 | 21412527 |
10 | 10342024 |
11 | 5924130 |
12 | 3568b74 |
13 | 21b1454 |
14 | 1532d60 |
15 | d94484 |
hex | 9dce88 |
10342024 has 64 divisors (see below), whose sum is σ = 24560640. Its totient is φ = 3965760.
The previous prime is 10341997. The next prime is 10342027. The reversal of 10342024 is 42024301.
10342024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 10341989 and 10342007.
It is not an unprimeable number, because it can be changed into a prime (10342027) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63367 + ... + 63529.
It is an arithmetic number, because the mean of its divisors is an integer number (383760).
Almost surely, 210342024 is an apocalyptic number.
10342024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10342024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12280320).
10342024 is an abundant number, since it is smaller than the sum of its proper divisors (14218616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10342024 is a wasteful number, since it uses less digits than its factorization.
10342024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 290 (or 286 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 10342024 is about 3215.9017397924. The cubic root of 10342024 is about 217.8722141990.
Adding to 10342024 its reverse (42024301), we get a palindrome (52366325).
The spelling of 10342024 in words is "ten million, three hundred forty-two thousand, twenty-four".
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