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1105334406 = 2321183103653
BaseRepresentation
bin100000111100010…
…0001000010000110
32212000212210202100
41001320201002012
54230431200111
6301403052530
736251121201
oct10170410206
92760783670
101105334406
11517a29110
1226a211146
13147ccaa37
14a6b2a938
156708b756
hex41e21086

1105334406 has 96 divisors (see below), whose sum is σ = 2673844992. Its totient is φ = 327199680.

The previous prime is 1105334389. The next prime is 1105334431. The reversal of 1105334406 is 6044335011.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1105334406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692376 + ... + 1693028.

It is an arithmetic number, because the mean of its divisors is an integer number (27852552).

Almost surely, 21105334406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105334406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336922496).

1105334406 is an abundant number, since it is smaller than the sum of its proper divisors (1568510586).

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

1105334406 is a wasteful number, since it uses less digits than its factorization.

1105334406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1105334406 is about 33246.5698381051. The cubic root of 1105334406 is about 1033.9460923650.

Adding to 1105334406 its reverse (6044335011), we get a palindrome (7149669417).

The spelling of 1105334406 in words is "one billion, one hundred five million, three hundred thirty-four thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 103 166 198 206 249 309 498 618 653 747 913 927 1133 1306 1494 1826 1854 1959 2266 2739 3399 3918 5478 5877 6798 7183 8217 8549 10197 11754 14366 16434 17098 20394 21549 25647 43098 51294 54199 64647 67259 76941 94039 108398 129294 134518 153882 162597 188078 201777 282117 325194 403554 487791 564234 596189 605331 739849 846351 975582 1192378 1210662 1479698 1692702 1788567 2219547 3577134 4439094 5365701 5582497 6658641 10731402 11164994 13317282 16747491 33494982 50242473 61407467 100484946 122814934 184222401 368444802 552667203 1105334406