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243434431000 = 23531137332939
BaseRepresentation
bin1110001010110111010…
…0101010001000011000
3212021100100211101122001
43202231310222020120
512442023203243000
6303455432410344
723405350344115
oct3425564521030
9767310741561
10243434431000
1194270432072
123b2198469b4
1319c56a91317
14bad485d90c
1564eb71546a
hex38add2a218

243434431000 has 128 divisors (see below), whose sum is σ = 575657409600. Its totient is φ = 96347596800.

The previous prime is 243434430971. The next prime is 243434431001. The reversal of 243434431000 is 134434342.

It is a super-2 number, since 2×2434344310002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 243434431000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243434431001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82827531 + ... + 82830469.

Almost surely, 2243434431000 is an apocalyptic number.

243434431000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243434431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287828704800).

243434431000 is an abundant number, since it is smaller than the sum of its proper divisors (332222978600).

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

243434431000 is a wasteful number, since it uses less digits than its factorization.

243434431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 243434431000 its reverse (134434342), we get a palindrome (243568865342).

The spelling of 243434431000 in words is "two hundred forty-three billion, four hundred thirty-four million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 733 904 1000 1130 1466 2260 2825 2932 2939 3665 4520 5650 5864 5878 7330 11300 11756 14125 14660 14695 18325 22600 23512 28250 29320 29390 36650 56500 58780 73300 73475 82829 91625 113000 117560 146600 146950 165658 183250 293900 331316 332107 366500 367375 414145 587800 662632 664214 733000 734750 828290 1328428 1469500 1656580 1660535 2070725 2154287 2656856 2939000 3313160 3321070 4141450 4308574 6642140 8282900 8302675 8617148 10353625 10771435 13284280 16565800 16605350 17234296 20707250 21542870 33210700 41414500 41513375 43085740 53857175 66421400 82829000 83026750 86171480 107714350 166053500 215428700 243434431 269285875 332107000 430857400 486868862 538571750 973737724 1077143500 1217172155 1947475448 2154287000 2434344310 4868688620 6085860775 9737377240 12171721550 24343443100 30429303875 48686886200 60858607750 121717215500 243434431000