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3742409 = 112157197
BaseRepresentation
bin1110010001101011001001
321001010121202
432101223021
51424224114
6212113545
743544546
oct16215311
97033552
103742409
112126800
1213058b5
13a10558
146d5bcd
154ddcde
hex391ac9

3742409 has 12 divisors (see below), whose sum is σ = 4160772. Its totient is φ = 3363360.

The previous prime is 3742391. The next prime is 3742451. The reversal of 3742409 is 9042473.

3742409 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 2650384 + 1092025 = 1628^2 + 1045^2 .

It is not a de Polignac number, because 3742409 - 220 = 2693833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3742009) 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, 18899 + ... + 19095.

It is an arithmetic number, because the mean of its divisors is an integer number (346731).

Almost surely, 23742409 is an apocalyptic number.

It is an amenable number.

3742409 is a deficient number, since it is larger than the sum of its proper divisors (418363).

3742409 is a wasteful number, since it uses less digits than its factorization.

3742409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 3742409 is about 1934.5306924420. The cubic root of 3742409 is about 155.2567233629.

The spelling of 3742409 in words is "three million, seven hundred forty-two thousand, four hundred nine".

Divisors: 1 11 121 157 197 1727 2167 18997 23837 30929 340219 3742409