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1344319218 = 2321118137511
BaseRepresentation
bin101000000100000…
…1010111011110010
310110200120111021200
41100020022323302
510223121203333
6341221232030
745212345004
oct12010127362
93420514250
101344319218
1162a918a20
12316262616
13185684778
14ca77a374
157d046c13
hex5020aef2

1344319218 has 48 divisors (see below), whose sum is σ = 3195122112. Its totient is φ = 405108000.

The previous prime is 1344319201. The next prime is 1344319219. The reversal of 1344319218 is 8129134431.

1344319218 is a `hidden beast` number, since 1 + 3 + 4 + 431 + 9 + 218 = 666.

It is not an unprimeable number, because it can be changed into a prime (1344319219) 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 23 ways as a sum of consecutive naturals, for example, 17083 + ... + 54593.

It is an arithmetic number, because the mean of its divisors is an integer number (66565044).

Almost surely, 21344319218 is an apocalyptic number.

1344319218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344319218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597561056).

1344319218 is an abundant number, since it is smaller than the sum of its proper divisors (1850802894).

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

1344319218 is a wasteful number, since it uses less digits than its factorization.

1344319218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37711 (or 37708 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1344319218 is about 36664.9589935677. The cubic root of 1344319218 is about 1103.6570344950.

The spelling of 1344319218 in words is "one billion, three hundred forty-four million, three hundred nineteen thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 362 543 1086 1629 1991 3258 3982 5973 11946 17919 35838 37511 75022 112533 225066 337599 412621 675198 825242 1237863 2475726 3713589 6789491 7427178 13578982 20368473 40736946 61105419 74684401 122210838 149368802 224053203 448106406 672159609 1344319218