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434344077678 = 23754730416217
BaseRepresentation
bin1100101001000001110…
…11001010100101101110
31112112010012000021122210
412110200323022211232
524104014040441203
6531311312551250
743244310513240
oct6244073124556
91475105007583
10434344077678
111582279aa275
1270218b52526
1331c5c9b64b4
141704552a090
15b471ab1803
hex6520eca96e

434344077678 has 64 divisors (see below), whose sum is σ = 995088526848. Its totient is φ = 123810785280.

The previous prime is 434344077677. The next prime is 434344077719. The reversal of 434344077678 is 876770443434.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434344077677) 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 31 ways as a sum of consecutive naturals, for example, 69860826 + ... + 69867042.

It is an arithmetic number, because the mean of its divisors is an integer number (15548258232).

Almost surely, 2434344077678 is an apocalyptic number.

434344077678 is an abundant number, since it is smaller than the sum of its proper divisors (560744449170).

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

434344077678 is a wasteful number, since it uses less digits than its factorization.

434344077678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9817.

The product of its (nonzero) digits is 37933056, while the sum is 57.

The spelling of 434344077678 in words is "four hundred thirty-four billion, three hundred forty-four million, seventy-seven thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 547 1094 1641 3041 3282 3829 6082 6217 7658 9123 11487 12434 18246 18651 21287 22974 37302 42574 43519 63861 87038 127722 130557 261114 1663427 3326854 3400699 4990281 6801398 9980562 10202097 11643989 18905897 20404194 23287978 23804893 34931967 37811794 47609786 56717691 69863934 71414679 113435382 132341279 142829358 264682558 397023837 794047674 10341525659 20683051318 31024576977 62049153954 72390679613 144781359226 217172038839 434344077678