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3728097 = 324011033
BaseRepresentation
bin1110001110001011100001
321000101222200
432032023201
51423244342
6211523413
743455042
oct16161341
97011880
103728097
112116a7a
1212b9569
13a06b99
146d08c9
154d994c
hex38e2e1

3728097 has 12 divisors (see below), whose sum is σ = 5403684. Its totient is φ = 2476800.

The previous prime is 3728069. The next prime is 3728099. The reversal of 3728097 is 7908273.

3728097 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 3651921 + 76176 = 1911^2 + 276^2 .

It is not a de Polignac number, because 3728097 - 212 = 3724001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3728099) 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, 3093 + ... + 4125.

It is an arithmetic number, because the mean of its divisors is an integer number (450307).

Almost surely, 23728097 is an apocalyptic number.

It is an amenable number.

3728097 is a deficient number, since it is larger than the sum of its proper divisors (1675587).

3728097 is a wasteful number, since it uses less digits than its factorization.

3728097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3728097 is about 1930.8280607035. The cubic root of 3728097 is about 155.0585557464.

It can be divided in two parts, 372809 and 7, that added together give a triangular number (372816 = T863).

The spelling of 3728097 in words is "three million, seven hundred twenty-eight thousand, ninety-seven".

Divisors: 1 3 9 401 1033 1203 3099 3609 9297 414233 1242699 3728097