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242343303400 = 235211172164007
BaseRepresentation
bin1110000110110011001…
…0010101100011101000
3212011112022200100221201
43201230302111203220
512432304341202100
6303155254013544
723336331043102
oct3415462254350
9764468610851
10242343303400
1193860527820
123ab743472b4
1319b119c8ba3
14ba2d990572
156485a3336a
hex386cc958e8

242343303400 has 96 divisors (see below), whose sum is σ = 615037510080. Its totient is φ = 88072256000.

The previous prime is 242343303311. The next prime is 242343303413. The reversal of 242343303400 is 4303343242.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3754197 + ... + 3818203.

It is an arithmetic number, because the mean of its divisors is an integer number (6406640730).

Almost surely, 2242343303400 is an apocalyptic number.

242343303400 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 242343303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307518755040).

242343303400 is an abundant number, since it is smaller than the sum of its proper divisors (372694206680).

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

242343303400 is a wasteful number, since it uses less digits than its factorization.

242343303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65755 (or 65746 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 242343303400 its reverse (4303343242), we get a palindrome (246646646642).

The spelling of 242343303400 in words is "two hundred forty-two billion, three hundred forty-three million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1721 2200 3442 6884 8605 13768 17210 18931 34420 37862 43025 64007 68840 75724 86050 94655 128014 151448 172100 189310 256028 320035 344200 378620 473275 512056 640070 704077 757240 946550 1280140 1408154 1600175 1893100 2560280 2816308 3200350 3520385 3786200 5632616 6400700 7040770 12801400 14081540 17601925 28163080 35203850 70407700 110156047 140815400 220312094 440624188 550780235 881248376 1101560470 1211716517 2203120940 2423433034 2753901175 4406241880 4846866068 5507802350 6058582585 9693732136 11015604700 12117165170 22031209400 24234330340 30292912925 48468660680 60585825850 121171651700 242343303400