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238331268 = 22337367859
BaseRepresentation
bin11100011010010…
…10010110000100
3121121110111001000
432031022112010
5442003100033
635352133300
75622532230
oct1615122604
9547414030
10238331268
1111259389a
1267997230
133a4b8426
142391d5c0
1515dcba13
hexe34a584

238331268 has 96 divisors (see below), whose sum is σ = 708915200. Its totient is φ = 67830048.

The previous prime is 238331257. The next prime is 238331293. The reversal of 238331268 is 862133832.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 277023 + ... + 277881.

Almost surely, 2238331268 is an apocalyptic number.

238331268 is a gapful number since it is divisible by the number (28) 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 238331268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354457600).

238331268 is an abundant number, since it is smaller than the sum of its proper divisors (470583932).

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

238331268 is a wasteful number, since it uses less digits than its factorization.

238331268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1238 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 238331268 is about 15437.9813447225. The cubic root of 238331268 is about 620.0028338407.

The spelling of 238331268 in words is "two hundred thirty-eight million, three hundred thirty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 367 378 734 756 859 1101 1468 1718 2202 2569 2577 3303 3436 4404 5138 5154 6013 6606 7707 7731 9909 10276 10308 12026 13212 15414 15462 18039 19818 23121 23193 24052 30828 30924 36078 39636 46242 46386 54117 69363 72156 92484 92772 108234 138726 162351 216468 277452 315253 324702 630506 649404 945759 1261012 1891518 2206771 2837277 3783036 4413542 5674554 6620313 8511831 8827084 11349108 13240626 17023662 19860939 26481252 34047324 39721878 59582817 79443756 119165634 238331268