Base | Representation |
---|---|
bin | 100111011101… |
… | …011001011000 |
3 | 201110112100000 |
4 | 213131121120 |
5 | 10122002044 |
6 | 1005413000 |
7 | 153631335 |
oct | 47353130 |
9 | 21415300 |
10 | 10344024 |
11 | 5925689 |
12 | 356a160 |
13 | 21b2332 |
14 | 153398c |
15 | d94d69 |
hex | 9dd658 |
10344024 has 96 divisors (see below), whose sum is σ = 30859920. Its totient is φ = 3234816.
The previous prime is 10344017. The next prime is 10344067. The reversal of 10344024 is 42044301.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10343988 and 10344006.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 32892 + ... + 33204.
Almost surely, 210344024 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 10344024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429960).
10344024 is an abundant number, since it is smaller than the sum of its proper divisors (20515896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10344024 is a wasteful number, since it uses less digits than its factorization.
10344024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 351 (or 335 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 10344024 is about 3216.2126795347. The cubic root of 10344024 is about 217.8862577538.
Adding to 10344024 its reverse (42044301), we get a palindrome (52388325).
The spelling of 10344024 in words is "ten million, three hundred forty-four thousand, twenty-four".
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