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343105404561 = 3238122822729
BaseRepresentation
bin1001111111000101010…
…11001111111010010001
31012210121121100110110100
410333202223033322101
521110134440421221
6421342003323013
733534320550633
oct4774253177221
91183547313410
10343105404561
11122568068797
12565b5380469
132647c37c15a
141286bd12a53
158dd1b0a926
hex4fe2acfe91

343105404561 has 6 divisors (see below), whose sum is σ = 495596695490. Its totient is φ = 228736936368.

The previous prime is 343105404557. The next prime is 343105404583. The reversal of 343105404561 is 165404501343.

343105404561 is a `hidden beast` number, since 3 + 4 + 3 + 10 + 540 + 45 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 282353014161 + 60752390400 = 531369^2 + 246480^2 .

It is not a de Polignac number, because 343105404561 - 22 = 343105404557 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (343105404461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19061411356 + ... + 19061411373.

Almost surely, 2343105404561 is an apocalyptic number.

It is an amenable number.

343105404561 is a deficient number, since it is larger than the sum of its proper divisors (152491290929).

343105404561 is a wasteful number, since it uses less digits than its factorization.

343105404561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38122822735 (or 38122822732 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 343105404561 in words is "three hundred forty-three billion, one hundred five million, four hundred four thousand, five hundred sixty-one".

Divisors: 1 3 9 38122822729 114368468187 343105404561