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344131003431 = 3258537653207
BaseRepresentation
bin1010000000111111100…
…11100110010000100111
31012220021002012021121200
411000133303212100213
521114240014102211
6422031441413543
733601613160045
oct5003763462047
91186232167550
10344131003431
11122a43a86366
125684093a2b3
13265b39acca7
1412928205395
158e41b96b56
hex501fce6427

344131003431 has 12 divisors (see below), whose sum is σ = 497087368752. Its totient is φ = 229416398496.

The previous prime is 344131003423. The next prime is 344131003439. The reversal of 344131003431 is 134300131443.

344131003431 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 310 + 0 + 343 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (344131003423) and next prime (344131003439).

It is not a de Polignac number, because 344131003431 - 23 = 344131003423 is a prime.

It is a super-2 number, since 2×3441310034312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344131003395 and 344131003404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344131003439) 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 11 ways as a sum of consecutive naturals, for example, 200230 + ... + 853436.

It is an arithmetic number, because the mean of its divisors is an integer number (41423947396).

Almost surely, 2344131003431 is an apocalyptic number.

344131003431 is a deficient number, since it is larger than the sum of its proper divisors (152956365321).

344131003431 is a wasteful number, since it uses less digits than its factorization.

344131003431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711750 (or 711747 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 344131003431 its reverse (134300131443), we get a palindrome (478431134874).

The spelling of 344131003431 in words is "three hundred forty-four billion, one hundred thirty-one million, three thousand, four hundred thirty-one".

Divisors: 1 3 9 58537 175611 526833 653207 1959621 5878863 38236778159 114710334477 344131003431