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344346066 = 236594003
BaseRepresentation
bin10100100001100…
…100110111010010
3212222221121000000
4110201210313102
51201123033231
654100310430
711350615251
oct2441446722
9788847000
10344346066
11167413329
12973a2416
135645688c
1433a38798
152036d6e6
hex14864dd2

344346066 has 56 divisors (see below), whose sum is σ = 787746960. Its totient is φ = 112808376.

The previous prime is 344346053. The next prime is 344346083. The reversal of 344346066 is 660643443.

344346066 is a `hidden beast` number, since 3 + 4 + 43 + 4 + 606 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 344346066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 84021 + ... + 88023.

It is an arithmetic number, because the mean of its divisors is an integer number (14066910).

Almost surely, 2344346066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344346066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393873480).

344346066 is an abundant number, since it is smaller than the sum of its proper divisors (443400894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344346066 is an equidigital number, since it uses as much as digits as its factorization.

344346066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 344346066 is about 18556.5639599577. The cubic root of 344346066 is about 700.9144959179.

The spelling of 344346066 in words is "three hundred forty-four million, three hundred forty-six thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 243 354 486 531 729 1062 1458 1593 3186 4003 4779 8006 9558 12009 14337 24018 28674 36027 43011 72054 86022 108081 216162 236177 324243 472354 648486 708531 972729 1417062 1945458 2125593 2918187 4251186 5836374 6376779 12753558 19130337 38260674 57391011 114782022 172173033 344346066