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344000345 = 51321572593
BaseRepresentation
bin10100100000010…
…000011101011001
3212222022000202112
4110200100131121
51201031002340
654045042105
711344645313
oct2440203531
9788260675
10344000345
111671a7607
1297256335
1356365400
14339887b3
1520301065
hex14810759

344000345 has 24 divisors (see below), whose sum is σ = 450017496. Its totient is φ = 252315648.

The previous prime is 344000341. The next prime is 344000383. The reversal of 344000345 is 543000443.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 213949129 + 130051216 = 14627^2 + 11404^2 .

It is not a de Polignac number, because 344000345 - 22 = 344000341 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 344000345.

It is not an unprimeable number, because it can be changed into a prime (344000341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131369 + ... + 133961.

It is an arithmetic number, because the mean of its divisors is an integer number (18750729).

Almost surely, 2344000345 is an apocalyptic number.

It is an amenable number.

344000345 is a deficient number, since it is larger than the sum of its proper divisors (106017151).

344000345 is a wasteful number, since it uses less digits than its factorization.

344000345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 344000345 is about 18547.2462915658. The cubic root of 344000345 is about 700.6798463161.

Adding to 344000345 its reverse (543000443), we get a palindrome (887000788).

The spelling of 344000345 in words is "three hundred forty-four million, three hundred forty-five", and thus it is an aban number.

Divisors: 1 5 13 65 157 169 785 845 2041 2593 10205 12965 26533 33709 132665 168545 407101 438217 2035505 2191085 5292313 26461565 68800069 344000345