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3930144 = 25340939
BaseRepresentation
bin1110111111100000100000
321101200010220
432333200200
52001231034
6220123040
745256101
oct16774040
97350126
103930144
112244859
121396480
13a77b3a
147443a8
15529749
hex3bf820

3930144 has 24 divisors (see below), whose sum is σ = 10316880. Its totient is φ = 1310016.

The previous prime is 3930139. The next prime is 3930191. The reversal of 3930144 is 4410393.

3930144 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 (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 20374 + ... + 20565.

It is an arithmetic number, because the mean of its divisors is an integer number (429870).

Almost surely, 23930144 is an apocalyptic number.

It is an amenable number.

3930144 is an abundant number, since it is smaller than the sum of its proper divisors (6386736).

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

3930144 is a wasteful number, since it uses less digits than its factorization.

3930144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40952 (or 40944 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3930144 is about 1982.4590790228. The cubic root of 3930144 is about 157.8105939514.

Subtracting 3930144 from its reverse (4410393), we obtain a square (480249 = 6932).

The spelling of 3930144 in words is "three million, nine hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 40939 81878 122817 163756 245634 327512 491268 655024 982536 1310048 1965072 3930144