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3803393 = 11217432
BaseRepresentation
bin1110100000100100000001
321011020021102
432200210001
51433202033
6213304145
744220416
oct16404401
97136242
103803393
112168600
121335055
13a32239
1471010d
15501de8
hex3a0901

3803393 has 18 divisors (see below), whose sum is σ = 4531842. Its totient is φ = 3178560.

The previous prime is 3803377. The next prime is 3803419. The reversal of 3803393 is 3933083.

It can be written as a sum of positive squares in only one way, i.e., 3579664 + 223729 = 1892^2 + 473^2 .

It is not a de Polignac number, because 3803393 - 24 = 3803377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3800393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 88430 + ... + 88472.

It is an arithmetic number, because the mean of its divisors is an integer number (251769).

Almost surely, 23803393 is an apocalyptic number.

It is an amenable number.

3803393 is a deficient number, since it is larger than the sum of its proper divisors (728449).

3803393 is a wasteful number, since it uses less digits than its factorization.

3803393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 3803393 is about 1950.2289609172. The cubic root of 3803393 is about 156.0955063867.

It can be divided in two parts, 380 and 3393, that added together give a palindrome (3773).

The spelling of 3803393 in words is "three million, eight hundred three thousand, three hundred ninety-three".

Divisors: 1 11 17 43 121 187 473 731 1849 2057 5203 8041 20339 31433 88451 223729 345763 3803393