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434224314 = 23423116539
BaseRepresentation
bin11001111000011…
…011110010111010
31010021001212210000
4121320123302322
51342130134224
6111030533430
713521563046
oct3170336272
91107055700
10434224314
11203121177
12101507276
136bc65284
1441953026
15281c40c9
hex19e1bcba

434224314 has 40 divisors (see below), whose sum is σ = 1015296480. Its totient is φ = 138447144.

The previous prime is 434224313. The next prime is 434224321. The reversal of 434224314 is 413422434.

It is a happy number.

434224314 is a `hidden beast` number, since 4 + 342 + 2 + 4 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (434224313) 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 19 ways as a sum of consecutive naturals, for example, 54544 + ... + 61995.

It is an arithmetic number, because the mean of its divisors is an integer number (25382412).

Almost surely, 2434224314 is an apocalyptic number.

434224314 is an abundant number, since it is smaller than the sum of its proper divisors (581072166).

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

434224314 is a wasteful number, since it uses less digits than its factorization.

434224314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116576 (or 116567 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 434224314 is about 20838.0496688150. The cubic root of 434224314 is about 757.2478447067.

Adding to 434224314 its reverse (413422434), we get a palindrome (847646748).

The spelling of 434224314 in words is "four hundred thirty-four million, two hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 3726 116539 233078 349617 699234 1048851 2097702 2680397 3146553 5360794 6293106 8041191 9439659 16082382 18879318 24123573 48247146 72370719 144741438 217112157 434224314