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1304105814 = 232113291877
BaseRepresentation
bin100110110111011…
…0001001101010110
310100212220102212100
41031232301031112
510132322341224
6333223302530
744213500524
oct11556611526
93325812770
101304105814
1160a152000
123048aaa46
1317a244a5b
14c52ad314
1579751ac9
hex4dbb1356

1304105814 has 96 divisors (see below), whose sum is σ = 3216788640. Its totient is φ = 381353280.

The previous prime is 1304105807. The next prime is 1304105867. The reversal of 1304105814 is 4185014031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693844 + ... + 695720.

It is an arithmetic number, because the mean of its divisors is an integer number (33508215).

Almost surely, 21304105814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304105814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608394320).

1304105814 is an abundant number, since it is smaller than the sum of its proper divisors (1912682826).

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

1304105814 is a wasteful number, since it uses less digits than its factorization.

1304105814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1304105814 is about 36112.4052646732. The cubic root of 1304105814 is about 1092.5406643187.

Adding to 1304105814 its reverse (4185014031), we get a palindrome (5489119845).

The spelling of 1304105814 in words is "one billion, three hundred four million, one hundred five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 121 174 198 242 261 319 363 522 638 726 957 1089 1331 1877 1914 2178 2662 2871 3509 3754 3993 5631 5742 7018 7986 10527 11262 11979 16893 20647 21054 23958 31581 33786 38599 41294 54433 61941 63162 77198 108866 115797 123882 163299 185823 227117 231594 326598 347391 371646 454234 489897 598763 681351 694782 979794 1197526 1362702 1796289 2044053 2498287 3592578 4088106 4996574 5388867 6586393 7494861 10777734 13172786 14989722 19759179 22484583 39518358 44969166 59277537 72450323 118555074 144900646 217350969 434701938 652052907 1304105814