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344323134505 = 5731131776739
BaseRepresentation
bin1010000001010110100…
…00100001010000101001
31012220202110201112220101
411000223100201100221
521120133210301010
6422102503425401
733606435232000
oct5005320412051
91186673645811
10344323134505
11123032484279
1256895155261
132661474070c
1412945939c37
158e5399973a
hex502b421429

344323134505 has 32 divisors (see below), whose sum is σ = 486116064000. Its totient is φ = 234017715456.

The previous prime is 344323134481. The next prime is 344323134521. The reversal of 344323134505 is 505431323443.

It is a happy number.

It is not a de Polignac number, because 344323134505 - 221 = 344321037353 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 694575 + ... + 1082164.

It is an arithmetic number, because the mean of its divisors is an integer number (15191127000).

Almost surely, 2344323134505 is an apocalyptic number.

344323134505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

344323134505 is a deficient number, since it is larger than the sum of its proper divisors (141792929495).

344323134505 is a wasteful number, since it uses less digits than its factorization.

344323134505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776878 (or 1776864 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 344323134505 its reverse (505431323443), we get a palindrome (849754457948).

The spelling of 344323134505 in words is "three hundred forty-four billion, three hundred twenty-three million, one hundred thirty-four thousand, five hundred five".

Divisors: 1 5 7 35 49 113 245 343 565 791 1715 3955 5537 27685 38759 193795 1776739 8883695 12437173 62185865 87060211 200771507 435301055 609421477 1003857535 1405400549 3047107385 7027002745 9837803843 49189019215 68864626901 344323134505