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238683840 = 26351092281
BaseRepresentation
bin11100011101000…
…00011011000000
3121122010101200020
432032200123000
5442100340330
635403453440
75625531153
oct1616403300
9548111606
10238683840
1111280477a
1267b27280
133a5aca55
14239b1c9a
1515e4b210
hexe3a06c0

238683840 has 112 divisors (see below), whose sum is σ = 765108960. Its totient is φ = 63037440.

The previous prime is 238683839. The next prime is 238683853. The reversal of 238683840 is 48386832.

It is a junction number, because it is equal to n+sod(n) for n = 238683792 and 238683801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103500 + ... + 105780.

It is an arithmetic number, because the mean of its divisors is an integer number (6831330).

Almost surely, 2238683840 is an apocalyptic number.

238683840 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 238683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382554480).

238683840 is an abundant number, since it is smaller than the sum of its proper divisors (526425120).

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

238683840 is a wasteful number, since it uses less digits than its factorization.

238683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 238683840 is about 15449.3961047026. The cubic root of 238683840 is about 620.3084140209.

The spelling of 238683840 in words is "two hundred thirty-eight million, six hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 160 192 218 240 320 327 436 480 545 654 872 960 1090 1308 1635 1744 2180 2281 2616 3270 3488 4360 4562 5232 6540 6843 6976 8720 9124 10464 11405 13080 13686 17440 18248 20928 22810 26160 27372 34215 34880 36496 45620 52320 54744 68430 72992 91240 104640 109488 136860 145984 182480 218976 248629 273720 364960 437952 497258 547440 729920 745887 994516 1094880 1243145 1491774 1989032 2189760 2486290 2983548 3729435 3978064 4972580 5967096 7458870 7956128 9945160 11934192 14917740 15912256 19890320 23868384 29835480 39780640 47736768 59670960 79561280 119341920 238683840