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344305314041 = 13109457531689
BaseRepresentation
bin1010000001010100011…
…00100010100011111001
31012220201020012011211012
411000222030202203321
521120114130022131
6422101025443305
733606130611203
oct5005214424371
91186636164735
10344305314041
11123023412517
125688b1a0535
1326610b41370
141294341b773
158e5212952b
hex502a3228f9

344305314041 has 16 divisors (see below), whose sum is σ = 375011590800. Its totient is φ = 314214847488.

The previous prime is 344305314037. The next prime is 344305314043. The reversal of 344305314041 is 140413503443.

It can be written as a sum of positive squares in 8 ways, for example, as 12533922025 + 331771392016 = 111955^2 + 575996^2 .

It is a cyclic number.

It is not a de Polignac number, because 344305314041 - 22 = 344305314037 is a prime.

It is a super-2 number, since 2×3443053140412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344305313989 and 344305314007.

It is not an unprimeable number, because it can be changed into a prime (344305314043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381725 + ... + 913413.

It is an arithmetic number, because the mean of its divisors is an integer number (23438224425).

Almost surely, 2344305314041 is an apocalyptic number.

It is an amenable number.

344305314041 is a deficient number, since it is larger than the sum of its proper divisors (30706276759).

344305314041 is a wasteful number, since it uses less digits than its factorization.

344305314041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532268.

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 344305314041 its reverse (140413503443), we get a palindrome (484718817484).

The spelling of 344305314041 in words is "three hundred forty-four billion, three hundred five million, three hundred fourteen thousand, forty-one".

Divisors: 1 13 109 457 1417 5941 49813 531689 647569 6911957 57954101 242981873 753403313 3158764349 26485024157 344305314041