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3842761 = 132910193
BaseRepresentation
bin1110101010001011001001
321020020021111
432222023021
51440432021
6214210321
744443246
oct16521311
97206244
103842761
11219513a
1213539a1
13a47130
147205cd
1550d8e1
hex3aa2c9

3842761 has 8 divisors (see below), whose sum is σ = 4281480. Its totient is φ = 3424512.

The previous prime is 3842759. The next prime is 3842777. The reversal of 3842761 is 1672483.

3842761 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 383161 + 3459600 = 619^2 + 1860^2 .

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

It is not a de Polignac number, because 3842761 - 21 = 3842759 is a prime.

It is a d-powerful number, because it can be written as 34 + 87 + 48 + 25 + 73 + 68 + 1 .

It is a Duffinian number.

3842761 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3842711) 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, 4720 + ... + 5473.

It is an arithmetic number, because the mean of its divisors is an integer number (535185).

Almost surely, 23842761 is an apocalyptic number.

It is an amenable number.

3842761 is a deficient number, since it is larger than the sum of its proper divisors (438719).

3842761 is a wasteful number, since it uses less digits than its factorization.

3842761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10235.

The product of its digits is 8064, while the sum is 31.

The square root of 3842761 is about 1960.2961510955. The cubic root of 3842761 is about 156.6322277301.

The spelling of 3842761 in words is "three million, eight hundred forty-two thousand, seven hundred sixty-one".

Divisors: 1 13 29 377 10193 132509 295597 3842761