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345747164 = 227292631619
BaseRepresentation
bin10100100110111…
…010111011011100
3220002120202221112
4110212322323130
51202002402124
654150321152
711365542140
oct2446727334
9802522845
10345747164
1116818aa64
12979591b8
1356827529
1433cc1220
152054890e
hex149baedc

345747164 has 48 divisors (see below), whose sum is σ = 718502400. Its totient is φ = 142435776.

The previous prime is 345747163. The next prime is 345747187. The reversal of 345747164 is 461747543.

It is a super-2 number, since 2×3457471642 = 239082202828085792, which contains 22 as substring.

Its product of digits (282240) is a multiple of the sum of its prime divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345747163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212747 + ... + 214365.

It is an arithmetic number, because the mean of its divisors is an integer number (14968800).

Almost surely, 2345747164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345747164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359251200).

345747164 is an abundant number, since it is smaller than the sum of its proper divisors (372755236).

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

345747164 is a wasteful number, since it uses less digits than its factorization.

345747164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1920 counting only the distinct ones).

The product of its digits is 282240, while the sum is 41.

The square root of 345747164 is about 18594.2777219229. The cubic root of 345747164 is about 701.8638518661.

The spelling of 345747164 in words is "three hundred forty-five million, seven hundred forty-seven thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 263 406 526 812 1052 1619 1841 3238 3682 6476 7364 7627 11333 15254 22666 30508 45332 46951 53389 93902 106778 187804 213556 328657 425797 657314 851594 1314628 1703188 2980579 5961158 11922316 12348113 24696226 49392452 86436791 172873582 345747164