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2338141 = 13374861
BaseRepresentation
bin1000111010110101011101
311101210022211
420322311131
51044310031
6122040421
725605511
oct10726535
94353284
102338141
111357753
12949111
1363b320
1444c141
15312bb1
hex23ad5d

2338141 has 8 divisors (see below), whose sum is σ = 2586584. Its totient is φ = 2099520.

The previous prime is 2338123. The next prime is 2338151. The reversal of 2338141 is 1418332.

It can be written as a sum of positive squares in 4 ways, for example, as 910116 + 1428025 = 954^2 + 1195^2 .

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

It is a 8-Lehmer number, since φ(2338141) divides (2338141-1)8.

It is a cyclic number.

It is not a de Polignac number, because 2338141 - 211 = 2336093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338151) 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 7 ways as a sum of consecutive naturals, for example, 1950 + ... + 2911.

It is an arithmetic number, because the mean of its divisors is an integer number (323323).

22338141 is an apocalyptic number.

It is an amenable number.

2338141 is a deficient number, since it is larger than the sum of its proper divisors (248443).

2338141 is a wasteful number, since it uses less digits than its factorization.

2338141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911.

The product of its digits is 576, while the sum is 22.

The square root of 2338141 is about 1529.0981001885. The cubic root of 2338141 is about 132.7262729159.

The spelling of 2338141 in words is "two million, three hundred thirty-eight thousand, one hundred forty-one".

Divisors: 1 13 37 481 4861 63193 179857 2338141