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345114 = 23371183
BaseRepresentation
bin1010100010000011010
3122112102000
41110100122
542020424
611221430
72635110
oct1242032
9575360
10345114
11216320
12147876
13c1113
148dab0
156c3c9
hex5441a

345114 has 64 divisors (see below), whose sum is σ = 967680. Its totient is φ = 88560.

The previous prime is 345109. The next prime is 345133. The reversal of 345114 is 411543.

It is a happy number.

345114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

345114 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 31 ways as a sum of consecutive naturals, for example, 4117 + ... + 4199.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2345114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

345114 is an abundant number, since it is smaller than the sum of its proper divisors (622566).

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

345114 is a wasteful number, since it uses less digits than its factorization.

345114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 345114 is about 587.4640414528. The cubic root of 345114 is about 70.1435150859.

Adding to 345114 its reverse (411543), we get a palindrome (756657).

The spelling of 345114 in words is "three hundred forty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 83 99 126 154 166 189 198 231 249 297 378 462 498 581 594 693 747 913 1162 1386 1494 1743 1826 2079 2241 2739 3486 4158 4482 5229 5478 6391 8217 10458 12782 15687 16434 19173 24651 31374 38346 49302 57519 115038 172557 345114