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344105252340 = 22357378562843
BaseRepresentation
bin1010000000111100100…
…01010111010111110100
31012220012021201222202120
411000132101113113310
521114211421033330
6422025121435540
733601151246013
oct5003621272764
91186167658676
10344105252340
11122a30498173
125683419bbb0
13265ab564c65
1412924a20a7a
158e3e7abc10
hex501e4575f4

344105252340 has 48 divisors (see below), whose sum is σ = 976693276608. Its totient is φ = 90504393984.

The previous prime is 344105252333. The next prime is 344105252341. The reversal of 344105252340 is 43252501443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344105252341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39277042 + ... + 39285801.

It is an arithmetic number, because the mean of its divisors is an integer number (20347776596).

Almost surely, 2344105252340 is an apocalyptic number.

344105252340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344105252340 is an abundant number, since it is smaller than the sum of its proper divisors (632588024268).

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

344105252340 is a wasteful number, since it uses less digits than its factorization.

344105252340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78562928 (or 78562926 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 344105252340 its reverse (43252501443), we get a palindrome (387357753783).

The spelling of 344105252340 in words is "three hundred forty-four billion, one hundred five million, two hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 78562843 157125686 235688529 314251372 392814215 471377058 785628430 942754116 1178442645 1571256860 2356885290 4713770580 5735087539 11470175078 17205262617 22940350156 28675437695 34410525234 57350875390 68821050468 86026313085 114701750780 172052626170 344105252340