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430340112 = 24329730809
BaseRepresentation
bin11001101001100…
…111100000010000
31002222202112122200
4121221213200100
51340131340422
6110411403200
713443554616
oct3151474020
91088675580
10430340112
11200a08994
12100153500
136b205327
14412216b6
1527ba82ac
hex19a67810

430340112 has 60 divisors (see below), whose sum is σ = 1216810140. Its totient is φ = 141963264.

The previous prime is 430340111. The next prime is 430340123. The reversal of 430340112 is 211043034.

It can be written as a sum of positive squares in 2 ways, for example, as 285474816 + 144865296 = 16896^2 + 12036^2 .

It is a super-2 number, since 2×4303401122 = 370385223992345088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (430340111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1437 + ... + 29372.

It is an arithmetic number, because the mean of its divisors is an integer number (20280169).

Almost surely, 2430340112 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 430340112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608405070).

430340112 is an abundant number, since it is smaller than the sum of its proper divisors (786470028).

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

430340112 is a wasteful number, since it uses less digits than its factorization.

430340112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30920 (or 30911 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 430340112 is about 20744.6405608774. The cubic root of 430340112 is about 754.9831798952.

Adding to 430340112 its reverse (211043034), we get a palindrome (641383146).

The spelling of 430340112 in words is "four hundred thirty million, three hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 30809 61618 92427 123236 184854 246472 277281 369708 492944 554562 739416 1109124 1478832 2218248 2988473 4436496 5976946 8965419 11953892 17930838 23907784 26896257 35861676 47815568 53792514 71723352 107585028 143446704 215170056 430340112