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3836641 = 37971069
BaseRepresentation
bin1110101000101011100001
321012220212211
432220223201
51440233031
6214122121
744416354
oct16505341
97186784
103836641
112190586
121350341
13a44403
1471c29b
1550bbb1
hex3a8ae1

3836641 has 8 divisors (see below), whose sum is σ = 3984680. Its totient is φ = 3691008.

The previous prime is 3836639. The next prime is 3836663. The reversal of 3836641 is 1466383.

3836641 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 4 ways, for example, as 1147041 + 2689600 = 1071^2 + 1640^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3836641 - 21 = 3836639 is a prime.

It is a Duffinian number.

3836641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3836681) 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 7 ways as a sum of consecutive naturals, for example, 3055 + ... + 4123.

It is an arithmetic number, because the mean of its divisors is an integer number (498085).

Almost surely, 23836641 is an apocalyptic number.

It is an amenable number.

3836641 is a deficient number, since it is larger than the sum of its proper divisors (148039).

3836641 is a wasteful number, since it uses less digits than its factorization.

3836641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203.

The product of its digits is 10368, while the sum is 31.

The square root of 3836641 is about 1958.7345404623. The cubic root of 3836641 is about 156.5490324643.

The spelling of 3836641 in words is "three million, eight hundred thirty-six thousand, six hundred forty-one".

Divisors: 1 37 97 1069 3589 39553 103693 3836641