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344306081313 = 32165233231529
BaseRepresentation
bin1010000001010100011…
…11011101111000100001
31012220201021122011022200
411000222033131320201
521120114324100223
6422101054123413
733606140255145
oct5005217357041
91186637564280
10344306081313
11123023896a27
125688b4b0569
132661104c67c
141294357b225
158e5222ba43
hex502a3dde21

344306081313 has 12 divisors (see below), whose sum is σ = 497336164260. Its totient is φ = 229535006976.

The previous prime is 344306081309. The next prime is 344306081323. The reversal of 344306081313 is 313180603443.

344306081313 is a `hidden beast` number, since 3 + 4 + 4 + 30 + 608 + 1 + 3 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 190071584784 + 154234496529 = 435972^2 + 392727^2 .

It is not a de Polignac number, because 344306081313 - 22 = 344306081309 is a prime.

It is a super-2 number, since 2×3443060813132 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344306081303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1371333 + ... + 1602861.

It is an arithmetic number, because the mean of its divisors is an integer number (41444680355).

Almost surely, 2344306081313 is an apocalyptic number.

It is an amenable number.

344306081313 is a deficient number, since it is larger than the sum of its proper divisors (153030082947).

344306081313 is a wasteful number, since it uses less digits than its factorization.

344306081313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396768 (or 396765 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 344306081313 its reverse (313180603443), we get a palindrome (657486684756).

The spelling of 344306081313 in words is "three hundred forty-four billion, three hundred six million, eighty-one thousand, three hundred thirteen".

Divisors: 1 3 9 165233 231529 495699 694587 1487097 2083761 38256231257 114768693771 344306081313