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434132340 = 2235711011009
BaseRepresentation
bin11001111000000…
…101010101110100
31010020220012121120
4121320011111310
51342114213330
6111024543540
713521030645
oct3170052564
91106805546
10434132340
11203069064
12101481bb0
136bc32455
144192b6cc
15281a6c10
hex19e05574

434132340 has 96 divisors (see below), whose sum is σ = 1246129920. Its totient is φ = 112896000.

The previous prime is 434132333. The next prime is 434132351. The reversal of 434132340 is 43231434.

It is a self number, because there is not a number n which added to its sum of digits gives 434132340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429756 + ... + 430764.

It is an arithmetic number, because the mean of its divisors is an integer number (12980520).

Almost surely, 2434132340 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 434132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623064960).

434132340 is an abundant number, since it is smaller than the sum of its proper divisors (811997580).

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

434132340 is a wasteful number, since it uses less digits than its factorization.

434132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1191 counting only the distinct ones).

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

The square root of 434132340 is about 20835.8426755435. The cubic root of 434132340 is about 757.1943761584.

Adding to 434132340 its reverse (43231434), we get a palindrome (477363774).

It can be divided in two parts, 43413 and 2340, that added together give a triangular number (45753 = T302).

The spelling of 434132340 in words is "four hundred thirty-four million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 101 142 202 213 284 303 355 404 426 505 606 710 852 1009 1010 1065 1212 1420 1515 2018 2020 2130 3027 3030 4036 4260 5045 6054 6060 7171 10090 12108 14342 15135 20180 21513 28684 30270 35855 43026 60540 71639 71710 86052 101909 107565 143278 143420 203818 214917 215130 286556 305727 358195 407636 429834 430260 509545 611454 716390 859668 1019090 1074585 1222908 1432780 1528635 2038180 2149170 3057270 4298340 6114540 7235539 14471078 21706617 28942156 36177695 43413234 72355390 86826468 108533085 144710780 217066170 434132340