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34344404341 = 1331233365759
BaseRepresentation
bin11111111111000101…
…100000010101110101
310021122112001111202121
4133333011200111311
51030314131414331
623435543435541
72324041422502
oct377705402565
9107575044677
1034344404341
1113624580345
1267a5a55bb1
133314460a60
14193b4104a9
15d6022ec11
hex7ff160575

34344404341 has 16 divisors (see below), whose sum is σ = 38343352320. Its totient is φ = 30548108160.

The previous prime is 34344404317. The next prime is 34344404363. The reversal of 34344404341 is 14340444343.

It is a cyclic number.

It is not a de Polignac number, because 34344404341 - 215 = 34344371573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34344404297 and 34344404306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34374404341) 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, 88981 + ... + 276778.

It is an arithmetic number, because the mean of its divisors is an integer number (2396459520).

Almost surely, 234344404341 is an apocalyptic number.

34344404341 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34344404341 is a deficient number, since it is larger than the sum of its proper divisors (3998947979).

34344404341 is a wasteful number, since it uses less digits than its factorization.

34344404341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366036.

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 34344404341 its reverse (14340444343), we get a palindrome (48684848684).

The spelling of 34344404341 in words is "thirty-four billion, three hundred forty-four million, four hundred four thousand, three hundred forty-one".

Divisors: 1 13 31 233 403 3029 7223 93899 365759 4754867 11338529 85221847 147400877 1107884011 2641877257 34344404341