Search a number
-
+
1330110342 = 2331114291567
BaseRepresentation
bin100111101000111…
…1101111110000110
310102200211121101000
41033101331332012
510211002012332
6335552514130
744650515501
oct11721757606
93380747330
101330110342
116228a3650
1231154b946
1318274b252
14c891c138
157bb8bb7c
hex4f47df86

1330110342 has 64 divisors (see below), whose sum is σ = 3228825600. Its totient is φ = 402524640.

The previous prime is 1330110289. The next prime is 1330110343. The reversal of 1330110342 is 2430110331.

1330110342 is a `hidden beast` number, since 13 + 301 + 10 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330110343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848043 + ... + 849609.

It is an arithmetic number, because the mean of its divisors is an integer number (50450400).

Almost surely, 21330110342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330110342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614412800).

1330110342 is an abundant number, since it is smaller than the sum of its proper divisors (1898715258).

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

1330110342 is a wasteful number, since it uses less digits than its factorization.

1330110342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1330110342 is about 36470.6778385047. The cubic root of 1330110342 is about 1099.7548605252.

Adding to 1330110342 its reverse (2430110331), we get a palindrome (3760220673).

The spelling of 1330110342 in words is "one billion, three hundred thirty million, one hundred ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1429 1567 2858 3134 4287 4701 8574 9402 12861 14103 15719 17237 25722 28206 31438 34474 38583 42309 47157 51711 77166 84618 94314 103422 141471 155133 282942 310266 424413 465399 848826 930798 2239243 4478486 6717729 13435458 20153187 24631673 40306374 49263346 60459561 73895019 120919122 147790038 221685057 443370114 665055171 1330110342