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1104164334 = 232731313757
BaseRepresentation
bin100000111010000…
…0011010111101110
32211221200100201100
41001310003113232
54230131224314
6301322023530
736235146000
oct10164032756
92757610640
101104164334
115172aa009
12269947ba6
131479ab2a0
14a6904370
1566e09c09
hex41d035ee

1104164334 has 96 divisors (see below), whose sum is σ = 3004747200. Its totient is φ = 291187008.

The previous prime is 1104164333. The next prime is 1104164353. The reversal of 1104164334 is 4334614011.

1104164334 is a `hidden beast` number, since 1 + 10 + 4 + 1 + 643 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1104164298 and 1104164307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104164333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73384 + ... + 87140.

It is an arithmetic number, because the mean of its divisors is an integer number (31299450).

Almost surely, 21104164334 is an apocalyptic number.

1104164334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104164334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502373600).

1104164334 is an abundant number, since it is smaller than the sum of its proper divisors (1900582866).

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

1104164334 is a wasteful number, since it uses less digits than its factorization.

1104164334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13799 (or 13782 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1104164334 is about 33228.9682957506. The cubic root of 1104164334 is about 1033.5811293579.

Adding to 1104164334 its reverse (4334614011), we get a palindrome (5438778345).

The spelling of 1104164334 in words is "one billion, one hundred four million, one hundred sixty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 343 441 546 637 686 819 882 1029 1274 1638 1911 2058 3087 3822 4459 5733 6174 8918 11466 13377 13757 26754 27514 40131 41271 80262 82542 96299 123813 178841 192598 247626 288897 357682 536523 577794 674093 866691 1073046 1251887 1348186 1609569 1733382 2022279 2503774 3219138 3755661 4044558 4718651 6066837 7511322 8763209 9437302 11266983 12133674 14155953 17526418 22533966 26289627 28311906 42467859 52579254 61342463 78868881 84935718 122684926 157737762 184027389 368054778 552082167 1104164334