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238109340 = 22357231572
BaseRepresentation
bin11100011000101…
…00001010011100
3121121001012121110
432030110022130
5441423444330
635343302020
75620616220
oct1614241234
9547035543
10238109340
11112452087
12678aa910
133a43b401
14238a2780
1515d85db0
hexe31429c

238109340 has 144 divisors (see below), whose sum is σ = 800174592. Its totient is φ = 51727104.

The previous prime is 238109303. The next prime is 238109341. The reversal of 238109340 is 43901832.

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 = 238109298 and 238109307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238109341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1516542 + ... + 1516698.

It is an arithmetic number, because the mean of its divisors is an integer number (5556768).

Almost surely, 2238109340 is an apocalyptic number.

238109340 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 238109340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400087296).

238109340 is an abundant number, since it is smaller than the sum of its proper divisors (562065252).

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

238109340 is a wasteful number, since it uses less digits than its factorization.

238109340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 238109340 is about 15430.7919433839. The cubic root of 238109340 is about 619.8103304667.

The spelling of 238109340 in words is "two hundred thirty-eight million, one hundred nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 157 161 210 230 276 314 322 345 420 460 471 483 628 644 690 785 805 942 966 1099 1380 1570 1610 1884 1932 2198 2355 2415 3140 3220 3297 3611 4396 4710 4830 5495 6594 7222 9420 9660 10833 10990 13188 14444 16485 18055 21666 21980 24649 25277 32970 36110 43332 49298 50554 54165 65940 72220 73947 75831 98596 101108 108330 123245 126385 147894 151662 172543 216660 246490 252770 295788 303324 345086 369735 379155 492980 505540 517629 566927 690172 739470 758310 862715 1035258 1133854 1478940 1516620 1700781 1725430 2070516 2267708 2588145 2834635 3401562 3450860 3968489 5176290 5669270 6803124 7936978 8503905 10352580 11338540 11905467 15873956 17007810 19842445 23810934 34015620 39684890 47621868 59527335 79369780 119054670 238109340