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1343775664 = 247112229433
BaseRepresentation
bin101000000011000…
…0110001110110000
310110122112212200001
41100012012032300
510223001310124
6341201435344
745204622210
oct12006061660
93418485601
101343775664
1162a587600
1231603bb54
1318552423a
14ca678240
157ce8ab44
hex501863b0

1343775664 has 120 divisors (see below), whose sum is σ = 3292462880. Its totient is φ = 520058880.

The previous prime is 1343775617. The next prime is 1343775673. The reversal of 1343775664 is 4665773431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3103192 + ... + 3103624.

Almost surely, 21343775664 is an apocalyptic number.

1343775664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343775664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646231440).

1343775664 is an abundant number, since it is smaller than the sum of its proper divisors (1948687216).

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

1343775664 is a wasteful number, since it uses less digits than its factorization.

1343775664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 682 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 46.

The square root of 1343775664 is about 36657.5457989211. The cubic root of 1343775664 is about 1103.5082657455.

It can be divided in two parts, 134377 and 5664, that added together give a palindrome (140041).

The spelling of 1343775664 in words is "one billion, three hundred forty-three million, seven hundred seventy-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 229 242 308 433 458 484 616 847 866 916 968 1232 1603 1694 1732 1832 1936 2519 3031 3206 3388 3464 3664 4763 5038 6062 6412 6776 6928 9526 10076 12124 12824 13552 17633 19052 20152 24248 25648 27709 33341 35266 38104 40304 48496 52393 55418 66682 70532 76208 99157 104786 110836 133364 141064 193963 198314 209572 221672 266728 282128 366751 387926 396628 419144 443344 533456 694099 733502 775852 793256 838288 1090727 1388198 1467004 1551704 1586512 2181454 2776396 2934008 3103408 4362908 5552792 5868016 7635089 8725816 11105584 11997997 15270178 17451632 23995994 30540356 47991988 61080712 83985979 95983976 122161424 167971958 191967952 335943916 671887832 1343775664