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11304353034 = 234139755337
BaseRepresentation
bin10101000011100101…
…01011110100001010
31002011211010122010000
422201302223310022
5141122403244114
65105415303430
7550063262322
oct124162536412
932154118100
1011304353034
114881015827
12223597ab76
1310b1cba8c0
14793498282
1546265ce09
hex2a1cabd0a

11304353034 has 80 divisors (see below), whose sum is σ = 27560316168. Its totient is φ = 3442341888.

The previous prime is 11304352999. The next prime is 11304353041. The reversal of 11304353034 is 43035340311.

11304353034 is a `hidden beast` number, since 1 + 1 + 304 + 353 + 0 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6848390025 + 4455963009 = 82755^2 + 66753^2 .

It is a super-3 number, since 3×113043530343 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11304352989 and 11304353007.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176614 + ... + 231950.

Almost surely, 211304353034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11304353034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780158084).

11304353034 is an abundant number, since it is smaller than the sum of its proper divisors (16255963134).

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

11304353034 is a wasteful number, since it uses less digits than its factorization.

11304353034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55461 (or 55452 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 11304353034 its reverse (43035340311), we get a palindrome (54339693345).

The spelling of 11304353034 in words is "eleven billion, three hundred four million, three hundred fifty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 97 117 162 194 234 291 351 582 702 873 1053 1261 1746 2106 2522 2619 3783 5238 7566 7857 11349 15714 22698 34047 55337 68094 102141 110674 166011 204282 332022 498033 719381 996066 1438762 1494099 2158143 2988198 4316286 4482297 5367689 6474429 8964594 10735378 12948858 16103067 19423287 32206134 38846574 48309201 58269861 69779957 96618402 116539722 139559914 144927603 209339871 289855206 418679742 434782809 628019613 869565618 1256039226 1884058839 3768117678 5652176517 11304353034