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434343434328 = 233317246747947
BaseRepresentation
bin1100101001000001110…
…00101101100001011000
31112112010010210121011000
412110200320231201120
524104013404344303
6531311251105000
743244302163466
oct6244070554130
91475103717130
10434343434328
111582275aa981
12702188a2160
1331c5c81c70b
14170453dd836
15b4719d5da3
hex6520e2d858

434343434328 has 128 divisors (see below), whose sum is σ = 1278025171200. Its totient is φ = 136206531072.

The previous prime is 434343434279. The next prime is 434343434333. The reversal of 434343434328 is 823434343434.

It is a happy number.

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

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, 9034851 + ... + 9082797.

It is an arithmetic number, because the mean of its divisors is an integer number (9984571650).

Almost surely, 2434343434328 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 434343434328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639012585600).

434343434328 is an abundant number, since it is smaller than the sum of its proper divisors (843681736872).

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

434343434328 is a wasteful number, since it uses less digits than its factorization.

434343434328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50446 (or 50436 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 45.

The spelling of 434343434328 in words is "four hundred thirty-four billion, three hundred forty-three million, four hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 2467 3672 4934 7401 9868 14802 19736 22203 29604 41939 44406 47947 59208 66609 83878 88812 95894 125817 133218 143841 167756 177624 191788 251634 266436 287682 335512 377451 383576 431523 503268 532872 575364 754902 815099 863046 1006536 1132353 1150728 1294569 1509804 1630198 1726092 2264706 2445297 2589138 3019608 3260396 3452184 4529412 4890594 5178276 6520792 7335891 9058824 9781188 10356552 14671782 19562376 22007673 29343564 44015346 58687128 88030692 118285249 176061384 236570498 354855747 473140996 709711494 946281992 1064567241 1419422988 2010849233 2129134482 2838845976 3193701723 4021698466 4258268964 6032547699 6387403446 8043396932 8516537928 12065095398 12774806892 16086793864 18097643097 24130190796 25549613784 36195286194 48260381592 54292929291 72390572388 108585858582 144781144776 217171717164 434343434328