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434423412 = 22344992687
BaseRepresentation
bin11001111001001…
…100011001110100
31010021102222220000
4121321030121310
51342203022122
6111035111300
713523352363
oct3171143164
91107388800
10434423412
11203247815
121015a2530
136c004a97
14419a57da
15282130ac
hex19e4c674

434423412 has 60 divisors (see below), whose sum is σ = 1138368000. Its totient is φ = 144463824.

The previous prime is 434423359. The next prime is 434423417. The reversal of 434423412 is 214324434.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434423417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160333 + ... + 163019.

It is an arithmetic number, because the mean of its divisors is an integer number (18972800).

Almost surely, 2434423412 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 434423412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569184000).

434423412 is an abundant number, since it is smaller than the sum of its proper divisors (703944588).

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

434423412 is a wasteful number, since it uses less digits than its factorization.

434423412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3191 counting only the distinct ones).

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

The square root of 434423412 is about 20842.8263918308. The cubic root of 434423412 is about 757.3635633108.

Adding to 434423412 its reverse (214324434), we get a palindrome (648747846).

The spelling of 434423412 in words is "four hundred thirty-four million, four hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 499 998 1497 1996 2687 2994 4491 5374 5988 8061 8982 10748 13473 16122 17964 24183 26946 32244 40419 48366 53892 72549 80838 96732 145098 161676 217647 290196 435294 870588 1340813 2681626 4022439 5363252 8044878 12067317 16089756 24134634 36201951 48269268 72403902 108605853 144807804 217211706 434423412