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430330112 = 2817611621
BaseRepresentation
bin11001101001100…
…101000100000000
31002222202000221022
4121221211010000
51340131030422
6110411245012
713443513512
oct3151450400
91088660838
10430330112
11200a01423
12100149768
136b200904
144121bbb2
1527ba5342
hex19a65100

430330112 has 72 divisors (see below), whose sum is σ = 924987672. Its totient is φ = 199065600.

The previous prime is 430330097. The next prime is 430330133. The reversal of 430330112 is 211033034.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59228416 + 371101696 = 7696^2 + 19264^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264662 + ... + 266282.

It is an arithmetic number, because the mean of its divisors is an integer number (12847051).

Almost surely, 2430330112 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 430330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462493836).

430330112 is an abundant number, since it is smaller than the sum of its proper divisors (494657560).

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

430330112 is a wasteful number, since it uses less digits than its factorization.

430330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 430330112 is about 20744.3995333680. The cubic root of 430330112 is about 754.9773318926.

Adding to 430330112 its reverse (211033034), we get a palindrome (641363146).

The spelling of 430330112 in words is "four hundred thirty million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 128 136 244 256 272 488 544 976 1037 1088 1621 1952 2074 2176 3242 3904 4148 4352 6484 7808 8296 12968 15616 16592 25936 27557 33184 51872 55114 66368 98881 103744 110228 132736 197762 207488 220456 265472 395524 414976 440912 791048 881824 1582096 1680977 1763648 3164192 3361954 3527296 6328384 6723908 7054592 12656768 13447816 25313536 26895632 53791264 107582528 215165056 430330112