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343334740401 = 3255768488877
BaseRepresentation
bin1001111111100000101…
…10000110000110110001
31012211012120212221002100
410333300112012012301
521111122143143101
6421420435011013
733543104066352
oct4776026060661
91184176787070
10343334740401
11122675568144
125665a139a69
13264b7a38033
141289056dd29
158de6d0be86
hex4ff05861b1

343334740401 has 12 divisors (see below), whose sum is σ = 496818321012. Its totient is φ = 228478890336.

The previous prime is 343334740393. The next prime is 343334740423. The reversal of 343334740401 is 104047433343.

It can be written as a sum of positive squares in 2 ways, for example, as 139428306801 + 203906433600 = 373401^2 + 451560^2 .

It is not a de Polignac number, because 343334740401 - 23 = 343334740393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (343334740471) 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 11 ways as a sum of consecutive naturals, for example, 34239426 + ... + 34249451.

It is an arithmetic number, because the mean of its divisors is an integer number (41401526751).

Almost surely, 2343334740401 is an apocalyptic number.

It is an amenable number.

343334740401 is a deficient number, since it is larger than the sum of its proper divisors (153483580611).

343334740401 is a wasteful number, since it uses less digits than its factorization.

343334740401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68489440 (or 68489437 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 343334740401 in words is "three hundred forty-three billion, three hundred thirty-four million, seven hundred forty thousand, four hundred one".

Divisors: 1 3 9 557 1671 5013 68488877 205466631 616399893 38148304489 114444913467 343334740401