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3387105 = 32575269
BaseRepresentation
bin1100111010111011100001
320101002020100
430322323201
51331341410
6200333013
740534641
oct14727341
96332210
103387105
111a03867
121174169
13917907
14642521
1546d8c0
hex33aee1

3387105 has 12 divisors (see below), whose sum is σ = 5871060. Its totient is φ = 1806432.

The previous prime is 3387103. The next prime is 3387107. The reversal of 3387105 is 5017833.

It is an interprime number because it is at equal distance from previous prime (3387103) and next prime (3387107).

It can be written as a sum of positive squares in 2 ways, for example, as 1347921 + 2039184 = 1161^2 + 1428^2 .

It is not a de Polignac number, because 3387105 - 21 = 3387103 is a prime.

It is a super-2 number, since 2×33871052 = 22944960562050, which contains 22 as substring.

3387105 is a lucky number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (3387103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37590 + ... + 37679.

It is an arithmetic number, because the mean of its divisors is an integer number (489255).

Almost surely, 23387105 is an apocalyptic number.

It is an amenable number.

3387105 is a deficient number, since it is larger than the sum of its proper divisors (2483955).

3387105 is a wasteful number, since it uses less digits than its factorization.

3387105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75280 (or 75277 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3387105 is about 1840.4089219519. The cubic root of 3387105 is about 150.1791193566.

The spelling of 3387105 in words is "three million, three hundred eighty-seven thousand, one hundred five".

Divisors: 1 3 5 9 15 45 75269 225807 376345 677421 1129035 3387105