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10335424 = 261153277
BaseRepresentation
bin100111011011…
…010011000000
3201110002112111
4213123103000
510121213144
61005305104
7153564301
oct47332300
921402474
1010335424
11591a180
123565194
1321ab448
1415307a8
15d92534
hex9db4c0

10335424 has 56 divisors (see below), whose sum is σ = 22878288. Its totient is φ = 4592640.

The previous prime is 10335421. The next prime is 10335433. The reversal of 10335424 is 42453301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10335395 and 10335404.

It is not an unprimeable number, because it can be changed into a prime (10335421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37174 + ... + 37450.

Almost surely, 210335424 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 10335424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439144).

10335424 is an abundant number, since it is smaller than the sum of its proper divisors (12542864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10335424 is a wasteful number, since it uses less digits than its factorization.

10335424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 10335424 is about 3214.8754252692. The cubic root of 10335424 is about 217.8258576183.

Adding to 10335424 its reverse (42453301), we get a palindrome (52788725).

The spelling of 10335424 in words is "ten million, three hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 176 212 277 352 424 554 583 704 848 1108 1166 1696 2216 2332 3047 3392 4432 4664 6094 8864 9328 12188 14681 17728 18656 24376 29362 37312 48752 58724 97504 117448 161491 195008 234896 322982 469792 645964 939584 1291928 2583856 5167712 10335424