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3782385 = 32584053
BaseRepresentation
bin1110011011011011110001
321010011110100
432123123301
51432014020
6213023013
744102235
oct16333361
97104410
103782385
112153842
121324a69
13a257c9
147065c5
154eaa90
hex39b6f1

3782385 has 12 divisors (see below), whose sum is σ = 6556212. Its totient is φ = 2017248.

The previous prime is 3782377. The next prime is 3782407. The reversal of 3782385 is 5832873.

3782385 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 1468944 + 2313441 = 1212^2 + 1521^2 .

It is not a de Polignac number, because 3782385 - 23 = 3782377 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41982 + ... + 42071.

It is an arithmetic number, because the mean of its divisors is an integer number (546351).

Almost surely, 23782385 is an apocalyptic number.

It is an amenable number.

3782385 is a deficient number, since it is larger than the sum of its proper divisors (2773827).

3782385 is a wasteful number, since it uses less digits than its factorization.

3782385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84064 (or 84061 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3782385 is about 1944.8354686194. The cubic root of 3782385 is about 155.8075783327.

The spelling of 3782385 in words is "three million, seven hundred eighty-two thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 84053 252159 420265 756477 1260795 3782385