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4340226220434 = 2321318779881713
BaseRepresentation
bin111111001010001001101…
…001000110000110010010
3120100220212211100110021100
4333022021221012012102
51032102240403023214
613121512234405230
7625366565111166
oct77121151060622
916326784313240
104340226220434
111423752608745
125a11b8b90816
13256387814730
141100d4ad8ca6
1577d74e39309
hex3f289a46192

4340226220434 has 48 divisors (see below), whose sum is σ = 10132590955032. Its totient is φ = 1334742603264.

The previous prime is 4340226220433. The next prime is 4340226220493.

4340226220434 is a `hidden beast` number, since 4 + 3 + 4 + 0 + 22 + 622 + 0 + 4 + 3 + 4 = 666.

4340226220434 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3762253760409 + 577972460025 = 1939653^2 + 760245^2 .

It is not an unprimeable number, because it can be changed into a prime (4340226220433) 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 23 ways as a sum of consecutive naturals, for example, 4501639 + ... + 5380074.

Almost surely, 24340226220434 is an apocalyptic number.

4340226220434 is an abundant number, since it is smaller than the sum of its proper divisors (5792364734598).

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

4340226220434 is a wasteful number, since it uses less digits than its factorization.

4340226220434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883611 (or 9883608 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

The spelling of 4340226220434 in words is "four trillion, three hundred forty billion, two hundred twenty-six million, two hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1877 3754 5631 11262 16893 24401 33786 48802 73203 146406 219609 439218 9881713 19763426 29645139 59290278 88935417 128462269 177870834 256924538 385386807 770773614 1156160421 2312320842 18547975301 37095950602 55643925903 111287851806 166931777709 241123678913 333863555418 482247357826 723371036739 1446742073478 2170113110217 4340226220434