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346113 = 344273
BaseRepresentation
bin1010100100000000001
3122120210000
41110200001
542033423
611230213
72641035
oct1244001
9576700
10346113
11217049
12148369
13c1701
14901c5
156c843
hex54801

346113 has 10 divisors (see below), whose sum is σ = 517154. Its totient is φ = 230688.

The previous prime is 346111. The next prime is 346117. The reversal of 346113 is 311643.

346113 is digitally balanced in base 7, 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 only one way, i.e., 263169 + 82944 = 513^2 + 288^2 .

It is not a de Polignac number, because 346113 - 21 = 346111 is a prime.

It is a Duffinian number.

346113 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (346111) 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 9 ways as a sum of consecutive naturals, for example, 2056 + ... + 2217.

It is a Proth number, since it is equal to 169 ⋅ 211 + 1 and 169 < 211.

2346113 is an apocalyptic number.

It is an amenable number.

346113 is a deficient number, since it is larger than the sum of its proper divisors (171041).

346113 is an equidigital number, since it uses as much as digits as its factorization.

346113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4276 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 346113 is about 588.3136918346. The cubic root of 346113 is about 70.2111312614.

Adding to 346113 its reverse (311643), we get a palindrome (657756).

The spelling of 346113 in words is "three hundred forty-six thousand, one hundred thirteen".

Divisors: 1 3 9 27 81 4273 12819 38457 115371 346113