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242424034320 = 243513431806977
BaseRepresentation
bin1110000111000110011…
…0010011010000010000
3212011201221120220221210
43201301212103100100
512432441023044240
6303211300220120
723341331202156
oct3416146232020
9764657526853
10242424034320
11938a2058096
123ab9739a640
1319b25653b70
14ba3a5a73d6
15648cb7d780
hex3871993410

242424034320 has 160 divisors (see below), whose sum is σ = 828145245312. Its totient is φ = 58285817856.

The previous prime is 242424034313. The next prime is 242424034387. The reversal of 242424034320 is 23430424242.

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

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, 769329 + ... + 1037648.

Almost surely, 2242424034320 is an apocalyptic number.

242424034320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242424034320 is an abundant number, since it is smaller than the sum of its proper divisors (585721210992).

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

242424034320 is a wasteful number, since it uses less digits than its factorization.

242424034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807049 (or 1807043 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 242424034320 its reverse (23430424242), we get a palindrome (265854458562).

The spelling of 242424034320 in words is "two hundred forty-two billion, four hundred twenty-four million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 43 48 52 60 65 78 80 86 104 120 129 130 156 172 195 208 215 240 258 260 312 344 390 430 516 520 559 624 645 688 780 860 1032 1040 1118 1290 1560 1677 1720 2064 2236 2580 2795 3120 3354 3440 4472 5160 5590 6708 8385 8944 10320 11180 13416 16770 22360 26832 33540 44720 67080 134160 1806977 3613954 5420931 7227908 9034885 10841862 14455816 18069770 21683724 23490701 27104655 28911632 36139540 43367448 46981402 54209310 70472103 72279080 77700011 86734896 93962804 108418620 117453505 140944206 144558160 155400022 187925608 216837240 233100033 234907010 281888412 310800044 352360515 375851216 388500055 433674480 466200066 469814020 563776824 621600088 704721030 777000110 932400132 939628040 1010100143 1127553648 1165500165 1243200176 1409442060 1554000220 1864800264 1879256080 2020200286 2331000330 2818884120 3030300429 3108000440 3729600528 4040400572 4662000660 5050500715 5637768240 6060600858 6216000880 8080801144 9324001320 10101001430 12121201716 15151502145 16161602288 18648002640 20202002860 24242403432 30303004290 40404005720 48484806864 60606008580 80808011440 121212017160 242424034320