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344180 = 22517209
BaseRepresentation
bin1010100000001110100
3122111010102
41110001310
542003210
611213232
72632304
oct1240164
9574112
10344180
11215651
12147218
13c0875
148d604
156bea5
hex54074

344180 has 12 divisors (see below), whose sum is σ = 722820. Its totient is φ = 137664.

The previous prime is 344177. The next prime is 344189. The reversal of 344180 is 81443.

It can be written as a sum of positive squares in 2 ways, for example, as 139876 + 204304 = 374^2 + 452^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 17209 = 344180 / (3 + 4 + 4 + 1 + 8 + 0).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 344180.

It is not an unprimeable number, because it can be changed into a prime (344189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8585 + ... + 8624.

It is an arithmetic number, because the mean of its divisors is an integer number (60235).

2344180 is an apocalyptic number.

It is an amenable number.

344180 is an abundant number, since it is smaller than the sum of its proper divisors (378640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344180 is a wasteful number, since it uses less digits than its factorization.

344180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17218 (or 17216 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 344180 is about 586.6685606030. The cubic root of 344180 is about 70.0801802328.

The spelling of 344180 in words is "three hundred forty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 17209 34418 68836 86045 172090 344180