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243434225320 = 2351113241176591
BaseRepresentation
bin1110001010110111001…
…1110111111010101000
3212021100100102221111021
43202231303313322220
512442023130202240
6303455424142224
723405345526346
oct3425563677250
9767310387437
10243434225320
1194270301590
123b219767974
1319c56a1b810
14bad4808996
1564eb6c454a
hex38adcf7ea8

243434225320 has 128 divisors (see below), whose sum is σ = 646157191680. Its totient is φ = 81372672000.

The previous prime is 243434225297. The next prime is 243434225327. The reversal of 243434225320 is 23522434342.

It is not an unprimeable number, because it can be changed into a prime (243434225327) 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 31 ways as a sum of consecutive naturals, for example, 1290225 + ... + 1466815.

It is an arithmetic number, because the mean of its divisors is an integer number (5048103060).

Almost surely, 2243434225320 is an apocalyptic number.

243434225320 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 243434225320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323078595840).

243434225320 is an abundant number, since it is smaller than the sum of its proper divisors (402722966360).

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

243434225320 is a wasteful number, since it uses less digits than its factorization.

243434225320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176867 (or 176863 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 34.

Adding to 243434225320 its reverse (23522434342), we get a palindrome (266956659662).

The spelling of 243434225320 in words is "two hundred forty-three billion, four hundred thirty-four million, two hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 241 260 286 440 482 520 572 715 964 1144 1205 1430 1928 2410 2651 2860 3133 4820 5302 5720 6266 9640 10604 12532 13255 15665 21208 25064 26510 31330 34463 53020 62660 68926 106040 125320 137852 172315 176591 275704 344630 353182 689260 706364 882955 1378520 1412728 1765910 1942501 2295683 3531820 3885002 4591366 7063640 7770004 9182732 9712505 11478415 15540008 18365464 19425010 22956830 25252513 38850020 42558431 45913660 50505026 77700040 85116862 91827320 101010052 126262565 170233724 202020104 212792155 252525130 340467448 425584310 468142741 505050260 553259603 851168620 936285482 1010100520 1106519206 1702337240 1872570964 2213038412 2340713705 2766298015 3745141928 4426076824 4681427410 5532596030 6085855633 9362854820 11065192060 12171711266 18725709640 22130384120 24343422532 30429278165 48686845064 60858556330 121717112660 243434225320