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323244044240 = 245132337365231
BaseRepresentation
bin1001011010000101101…
…10001010111111010000
31010220100102200211002112
410231002312022333100
520244000433403430
6404255105404452
732232201020225
oct4550266127720
91126312624075
10323244044240
111150a5921817
1252791939728
1324635626640
14119061d994c
15861d128195
hex4b42d8afd0

323244044240 has 160 divisors (see below), whose sum is σ = 867370484736. Its totient is φ = 111076669440.

The previous prime is 323244044209. The next prime is 323244044257. The reversal of 323244044240 is 42440442323.

It is a junction number, because it is equal to n+sod(n) for n = 323244044197 and 323244044206.

It is a congruent number.

It is an unprimeable number.

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, 702425 + ... + 1067655.

Almost surely, 2323244044240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323244044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433685242368).

323244044240 is an abundant number, since it is smaller than the sum of its proper divisors (544126440496).

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

323244044240 is a wasteful number, since it uses less digits than its factorization.

323244044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365317 (or 365311 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 323244044240 its reverse (42440442323), we get a palindrome (365684486563).

The spelling of 323244044240 in words is "three hundred twenty-three billion, two hundred forty-four million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 37 40 46 52 65 74 80 92 104 115 130 148 184 185 208 230 260 296 299 368 370 460 481 520 592 598 740 851 920 962 1040 1196 1480 1495 1702 1840 1924 2392 2405 2960 2990 3404 3848 4255 4784 4810 5980 6808 7696 8510 9620 11063 11960 13616 17020 19240 22126 23920 34040 38480 44252 55315 68080 88504 110630 177008 221260 365231 442520 730462 885040 1460924 1826155 2921848 3652310 4748003 5843696 7304620 8400313 9496006 13513547 14609240 16800626 18992012 23740015 27027094 29218480 33601252 37984024 42001565 47480030 54054188 67202504 67567735 75968048 84003130 94960060 108108376 109204069 134405008 135135470 168006260 175676111 189920120 216216752 218408138 270270940 310811581 336012520 351352222 379840240 436816276 540541880 546020345 621623162 672025040 702704444 873632552 878380555 1081083760 1092040690 1243246324 1405408888 1554057905 1747265104 1756761110 2184081380 2486492648 2810817776 3108115810 3513522220 4040550553 4368162760 4972985296 6216231620 7027044440 8081101106 8736325520 12432463240 14054088880 16162202212 20202752765 24864926480 32324404424 40405505530 64648808848 80811011060 161622022120 323244044240