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234403332240 = 243571112684163
BaseRepresentation
bin1101101001001110000…
…1110000000010010000
3211102000222020001010210
43122103201300002100
512320024223112430
6255403340524120
722635506310120
oct3322341600220
9742028201123
10234403332240
119045662a990
1239519250640
1319147a42bbc
14b4b9270c80
15616d9442b0
hex3693870090

234403332240 has 160 divisors (see below), whose sum is σ = 905953729536. Its totient is φ = 48707182080.

The previous prime is 234403332217. The next prime is 234403332263. The reversal of 234403332240 is 42233304432.

It is an interprime number because it is at equal distance from previous prime (234403332217) and next prime (234403332263).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 234403332198 and 234403332207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6323602 + ... + 6360561.

Almost surely, 2234403332240 is an apocalyptic number.

234403332240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234403332240 is an abundant number, since it is smaller than the sum of its proper divisors (671550397296).

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

234403332240 is a wasteful number, since it uses less digits than its factorization.

234403332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12684197 (or 12684191 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 234403332240 its reverse (42233304432), we get a palindrome (276636636672).

The spelling of 234403332240 in words is "two hundred thirty-four billion, four hundred three million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 12684163 25368326 38052489 50736652 63420815 76104978 88789141 101473304 126841630 139525793 152209956 177578282 190262445 202946608 253683260 266367423 279051586 304419912 355156564 380524890 418577379 443945705 507366520 532734846 558103172 608839824 697628965 710313128 761049780 837154758 887891410 976680551 1014733040 1065469692 1116206344 1331837115 1395257930 1420626256 1522099560 1674309516 1775782820 1953361102 2092886895 2130939384 2232412688 2663674230 2790515860 2930041653 3044199120 3348619032 3551565640 3906722204 4185773790 4261878768 4883402755 5327348460 5581031720 5860083306 6697238064 7103131280 7813444408 8371547580 9766805510 10654696920 11162063440 11720166612 14650208265 15626888816 16743095160 19533611020 21309393840 23440333224 29300416530 33486190320 39067222040 46880666448 58600833060 78134444080 117201666120 234403332240