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1343198064 = 243135094229
BaseRepresentation
bin101000000001111…
…1001001101110000
310110121110112100110
41100003321031300
510222324314224
6341141221320
745166665225
oct12003711560
93417415313
101343198064
1162a22264a
12315a01840
13185381370
14ca56794c
157cdc4929
hex500f9370

1343198064 has 80 divisors (see below), whose sum is σ = 3745072800. Its totient is φ = 412382208.

The previous prime is 1343198063. The next prime is 1343198069. The reversal of 1343198064 is 4608913431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343198063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315502 + ... + 319730.

It is an arithmetic number, because the mean of its divisors is an integer number (46813410).

Almost surely, 21343198064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343198064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872536400).

1343198064 is an abundant number, since it is smaller than the sum of its proper divisors (2401874736).

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

1343198064 is a wasteful number, since it uses less digits than its factorization.

1343198064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1343198064 is about 36649.6666287703. Note that the first 4 decimals coincide. The cubic root of 1343198064 is about 1103.3501347577.

The spelling of 1343198064 in words is "one billion, three hundred forty-three million, one hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 509 624 1018 1527 2036 3054 4072 4229 6108 6617 8144 8458 12216 12687 13234 16916 19851 24432 25374 26468 33832 39702 50748 52936 54977 67664 79404 101496 105872 109954 158808 164931 202992 219908 317616 329862 439816 659724 879632 1319448 2152561 2638896 4305122 6457683 8610244 12915366 17220488 25830732 27983293 34440976 51661464 55966586 83949879 103322928 111933172 167899758 223866344 335799516 447732688 671599032 1343198064