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344097 = 321317173
BaseRepresentation
bin1010100000000100001
3122111000100
41110000201
542002342
611213013
72632125
oct1240041
9574010
10344097
11215586
12147169
13c0810
148d585
156be4c
hex54021

344097 has 24 divisors (see below), whose sum is σ = 570024. Its totient is φ = 198144.

The previous prime is 344083. The next prime is 344111. The reversal of 344097 is 790443.

It is an interprime number because it is at equal distance from previous prime (344083) and next prime (344111).

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 239121 = 324^2 + 489^2 .

It is not a de Polignac number, because 344097 - 210 = 343073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344097.

It is not an unprimeable number, because it can be changed into a prime (344017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1903 + ... + 2075.

It is an arithmetic number, because the mean of its divisors is an integer number (23751).

2344097 is an apocalyptic number.

It is an amenable number.

344097 is a deficient number, since it is larger than the sum of its proper divisors (225927).

344097 is a wasteful number, since it uses less digits than its factorization.

344097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 344097 is about 586.5978179298. The cubic root of 344097 is about 70.0745464340.

It can be divided in two parts, 3 and 44097, that added together give a square (44100 = 2102).

The spelling of 344097 in words is "three hundred forty-four thousand, ninety-seven".

Divisors: 1 3 9 13 17 39 51 117 153 173 221 519 663 1557 1989 2249 2941 6747 8823 20241 26469 38233 114699 344097