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430341324 = 223722925237
BaseRepresentation
bin11001101001100…
…111110011001100
31002222202121022120
4121221213303030
51340131410244
6110411412540
713443561300
oct3151476314
91088677276
10430341324
11200a09896
12100154150
136b205a4a
1441221d00
1527ba8819
hex19a67ccc

430341324 has 72 divisors (see below), whose sum is σ = 1208395440. Its totient is φ = 118710144.

The previous prime is 430341323. The next prime is 430341337. The reversal of 430341324 is 423143034.

It is a junction number, because it is equal to n+sod(n) for n = 430341294 and 430341303.

It is not an unprimeable number, because it can be changed into a prime (430341323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4434 + ... + 29670.

It is an arithmetic number, because the mean of its divisors is an integer number (16783270).

Almost surely, 2430341324 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 430341324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604197720).

430341324 is an abundant number, since it is smaller than the sum of its proper divisors (778054116).

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

430341324 is a wasteful number, since it uses less digits than its factorization.

430341324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25287 (or 25278 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 430341324 is about 20744.6697732213. The cubic root of 430341324 is about 754.9838886669.

Adding to 430341324 its reverse (423143034), we get a palindrome (853484358).

The spelling of 430341324 in words is "four hundred thirty million, three hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 2436 2842 4263 5684 8526 17052 25237 50474 75711 100948 151422 176659 302844 353318 529977 706636 731873 1059954 1236613 1463746 2119908 2195619 2473226 2927492 3709839 4391238 4946452 5123111 7419678 8782476 10246222 14839356 15369333 20492444 30738666 35861777 61477332 71723554 107585331 143447108 215170662 430341324