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1344969018 = 232293783839
BaseRepresentation
bin101000000101010…
…1001100100111010
310110201210111122100
41100022221210322
510223303002033
6341243204230
745221022321
oct12012514472
93421714570
101344969018
11630222148
12316516676
13185851473
14ca8a90b8
157d124513
hex502a993a

1344969018 has 96 divisors (see below), whose sum is σ = 3137097600. Its totient is φ = 415594368.

The previous prime is 1344969013. The next prime is 1344969023. The reversal of 1344969018 is 8109694431.

It is an interprime number because it is at equal distance from previous prime (1344969013) and next prime (1344969023).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1344969011) 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 47 ways as a sum of consecutive naturals, for example, 1602643 + ... + 1603481.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 21344969018 is an apocalyptic number.

1344969018 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 1344969018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568548800).

1344969018 is an abundant number, since it is smaller than the sum of its proper divisors (1792128582).

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

1344969018 is a wasteful number, since it uses less digits than its factorization.

1344969018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1344969018 is about 36673.8192447964. The cubic root of 1344969018 is about 1103.8348297717.

The spelling of 1344969018 in words is "one billion, three hundred forty-four million, nine hundred sixty-nine thousand, eighteen".

Divisors: 1 2 3 6 9 18 29 37 58 74 83 87 111 166 174 222 249 261 333 498 522 666 747 839 1073 1494 1678 2146 2407 2517 3071 3219 4814 5034 6142 6438 7221 7551 9213 9657 14442 15102 18426 19314 21663 24331 27639 31043 43326 48662 55278 62086 69637 72993 89059 93129 139274 145986 178118 186258 208911 218979 267177 279387 417822 437958 534354 558774 626733 801531 900247 1253466 1603062 1800494 2019473 2576569 2700741 4038946 5153138 5401482 6058419 7729707 8102223 12116838 15459414 16204446 18175257 23189121 36350514 46378242 74720501 149441002 224161503 448323006 672484509 1344969018