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3903264 = 253213553
BaseRepresentation
bin1110111000111100100000
321100022021100
432320330200
51444401024
6215354400
745114531
oct16707440
97308240
103903264
112226642
121382a00
13a68831
14738688
155217c9
hex3b8f20

3903264 has 36 divisors (see below), whose sum is σ = 11100726. Its totient is φ = 1300992.

The previous prime is 3903247. The next prime is 3903269. The reversal of 3903264 is 4623093.

3903264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2862864 + 1040400 = 1692^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (3903269) 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 5 ways as a sum of consecutive naturals, for example, 6489 + ... + 7064.

Almost surely, 23903264 is an apocalyptic number.

It is an amenable number.

3903264 is an abundant number, since it is smaller than the sum of its proper divisors (7197462).

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

3903264 is a wasteful number, since it uses less digits than its factorization.

3903264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13569 (or 13558 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3903264 is about 1975.6679883017. The cubic root of 3903264 is about 157.4499916820.

The spelling of 3903264 in words is "three million, nine hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13553 27106 40659 54212 81318 108424 121977 162636 216848 243954 325272 433696 487908 650544 975816 1301088 1951632 3903264