Search a number
-
+
344240414105 = 5769123336101
BaseRepresentation
bin1010000001001100101…
…00111101110110011001
31012220112201001220211212
411000212110331312121
521120001021222410
6422050350432505
733604412145440
oct5004624756631
91186481056755
10344240414105
11122a9a815205
1256871502735
132660056a033
1412938965d57
158e4b5a9b05
hex502653dd99

344240414105 has 32 divisors (see below), whose sum is σ = 473064530688. Its totient is φ = 235569312000.

The previous prime is 344240414093. The next prime is 344240414137. The reversal of 344240414105 is 501414042443.

It is not a de Polignac number, because 344240414105 - 26 = 344240414041 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 56420555 + ... + 56426655.

It is an arithmetic number, because the mean of its divisors is an integer number (14783266584).

Almost surely, 2344240414105 is an apocalyptic number.

344240414105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

344240414105 is a deficient number, since it is larger than the sum of its proper divisors (128824116583).

344240414105 is a wasteful number, since it uses less digits than its factorization.

344240414105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9137.

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 344240414105 its reverse (501414042443), we get a palindrome (845654456548).

The spelling of 344240414105 in words is "three hundred forty-four billion, two hundred forty million, four hundred fourteen thousand, one hundred five".

Divisors: 1 5 7 35 691 2333 3455 4837 6101 11665 16331 24185 30505 42707 81655 213535 1612103 4215791 8060515 11284721 14233633 21078955 29510537 56423605 71168165 99635431 147552685 498177155 9835440403 49177202015 68848082821 344240414105