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344738004068 = 221201646911093
BaseRepresentation
bin1010000010000111111…
…11000111110001100100
31012221211101101002221202
411001003333013301210
521122010412112233
6422212003502032
733622633454153
oct5010377076144
91187741332852
10344738004068
11123225685987
1256990087918
132667c68a173
1412984a9159a
158e7a0e8be8
hex5043fc7c64

344738004068 has 24 divisors (see below), whose sum is σ = 603941606520. Its totient is φ = 172183334400.

The previous prime is 344738004067. The next prime is 344738004073. The reversal of 344738004068 is 860400837443.

It can be written as a sum of positive squares in 4 ways, for example, as 1960541284 + 342777462784 = 44278^2 + 585472^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (344738004067) 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 7 ways as a sum of consecutive naturals, for example, 31071530 + ... + 31082622.

It is an arithmetic number, because the mean of its divisors is an integer number (25164233605).

Almost surely, 2344738004068 is an apocalyptic number.

It is an amenable number.

344738004068 is a deficient number, since it is larger than the sum of its proper divisors (259203602452).

344738004068 is a wasteful number, since it uses less digits than its factorization.

344738004068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18767 (or 18765 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The spelling of 344738004068 in words is "three hundred forty-four billion, seven hundred thirty-eight million, four thousand, sixty-eight".

Divisors: 1 2 4 1201 2402 4804 6469 11093 12938 22186 25876 44372 7769269 13322693 15538538 26645386 31077076 53290772 71760617 143521234 287042468 86184501017 172369002034 344738004068