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3903944 = 2311237109
BaseRepresentation
bin1110111001000111001000
321100100012112
432321013020
51444411234
6215401452
745116522
oct16710710
97310175
103903944
112227100
121383288
13a68c35
14738a12
15521ace
hex3b91c8

3903944 has 48 divisors (see below), whose sum is σ = 8339100. Its totient is φ = 1710720.

The previous prime is 3903937. The next prime is 3903947. The reversal of 3903944 is 4493093.

3903944 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 2 ways, for example, as 3496900 + 407044 = 1870^2 + 638^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3903944.

It is not an unprimeable number, because it can be changed into a prime (3903947) 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 11 ways as a sum of consecutive naturals, for example, 35762 + ... + 35870.

Almost surely, 23903944 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 3903944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169550).

3903944 is an abundant number, since it is smaller than the sum of its proper divisors (4435156).

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

3903944 is a wasteful number, since it uses less digits than its factorization.

3903944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 3903944 is about 1975.8400745000. The cubic root of 3903944 is about 157.4591344385.

It can be divided in two parts, 390 and 3944, that added together give a palindrome (4334).

The spelling of 3903944 in words is "three million, nine hundred three thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 109 121 148 218 242 296 407 436 484 814 872 968 1199 1628 2398 3256 4033 4477 4796 8066 8954 9592 13189 16132 17908 26378 32264 35816 44363 52756 88726 105512 177452 354904 487993 975986 1951972 3903944