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3863424 = 27310061
BaseRepresentation
bin1110101111001110000000
321021021121210
432233032000
51442112144
6214450120
744560425
oct16571600
97237553
103863424
1121a9714
121363940
13a53666
14727d4c
15514ab9
hex3af380

3863424 has 32 divisors (see below), whose sum is σ = 10263240. Its totient is φ = 1287680.

The previous prime is 3863423. The next prime is 3863443. The reversal of 3863424 is 4243683.

3863424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3863391 and 3863400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3863423) 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 3 ways as a sum of consecutive naturals, for example, 4647 + ... + 5414.

Almost surely, 23863424 is an apocalyptic number.

It is an amenable number.

3863424 is an abundant number, since it is smaller than the sum of its proper divisors (6399816).

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

3863424 is a wasteful number, since it uses less digits than its factorization.

3863424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078 (or 10066 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 3863424 is about 1965.5594623414. The cubic root of 3863424 is about 156.9124696347.

The spelling of 3863424 in words is "three million, eight hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 10061 20122 30183 40244 60366 80488 120732 160976 241464 321952 482928 643904 965856 1287808 1931712 3863424