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2434213340334 = 2332959162716193
BaseRepresentation
bin100011011011000010011…
…010111110010010101110
322121201010111211222201000
4203123002122332102232
5304340232103342314
65102132343501130
7340603035000006
oct43330232762256
98551114758630
102434213340334
11859386a75166
123339251577a6
13148712134599
1485b608a7006
15434bd367209
hex236c26be4ae

2434213340334 has 128 divisors (see below), whose sum is σ = 5694587712000. Its totient is φ = 769625708544.

The previous prime is 2434213340303. The next prime is 2434213340369. The reversal of 2434213340334 is 4330433124342.

2434213340334 is a `hidden beast` number, since 2 + 4 + 3 + 4 + 213 + 3 + 403 + 34 = 666.

It is a super-2 number, since 2×24342133403342 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150316942 + ... + 150333134.

It is an arithmetic number, because the mean of its divisors is an integer number (44488966500).

Almost surely, 22434213340334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434213340334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847293856000).

2434213340334 is an abundant number, since it is smaller than the sum of its proper divisors (3260374371666).

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

2434213340334 is a wasteful number, since it uses less digits than its factorization.

2434213340334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17919 (or 17913 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 2434213340334 its reverse (4330433124342), we get a palindrome (6764646464676).

The spelling of 2434213340334 in words is "two trillion, four hundred thirty-four billion, two hundred thirteen million, three hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 59 87 118 174 177 261 354 522 531 783 1062 1566 1593 1627 1711 3186 3254 3422 4881 5133 9762 10266 14643 15399 16193 29286 30798 32386 43929 46197 47183 48579 87858 92394 94366 95993 97158 141549 145737 191986 283098 287979 291474 424647 437211 469597 575958 849294 863937 874422 939194 955387 1273941 1408791 1727874 1910774 2547882 2591811 2783797 2817582 2866161 4226373 5183622 5567594 5732322 8351391 8452746 8598483 12679119 16702782 17196966 25054173 25358238 25795449 26346011 27706223 50108346 51590898 52692022 55412446 75162519 79038033 83118669 150325038 158076066 166237338 237114099 249356007 474228198 498712014 711342297 748068021 764034319 1422684594 1496136042 1528068638 1554414649 2292102957 3108829298 4584205914 4663243947 6876308871 9326487894 13752617742 13989731841 20628926613 27979463682 41257853226 41969195523 45078024821 83938391046 90156049642 135234074463 270468148926 405702223389 811404446778 1217106670167 2434213340334