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238274680 = 23573197283
BaseRepresentation
bin11100011001111…
…00100001111000
3121121100121102011
432030330201320
5441444242210
635351015304
75622205240
oct1614744170
9547317364
10238274680
11112555326
126796a534
133a498747
1423906b20
1515db9d8a
hexe33c878

238274680 has 128 divisors (see below), whose sum is σ = 641249280. Its totient is φ = 77967360.

The previous prime is 238274629. The next prime is 238274683. The reversal of 238274680 is 86472832.

238274680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238274683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841819 + ... + 842101.

It is an arithmetic number, because the mean of its divisors is an integer number (5009760).

Almost surely, 2238274680 is an apocalyptic number.

238274680 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 238274680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320624640).

238274680 is an abundant number, since it is smaller than the sum of its proper divisors (402974600).

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

238274680 is a wasteful number, since it uses less digits than its factorization.

238274680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 238274680 is about 15436.1484833491. The cubic root of 238274680 is about 619.9537599923.

The spelling of 238274680 in words is "two hundred thirty-eight million, two hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 97 124 140 155 194 217 248 280 283 310 388 434 485 566 620 679 776 868 970 1085 1132 1240 1358 1415 1736 1940 1981 2170 2264 2716 2830 3007 3395 3880 3962 4340 5432 5660 6014 6790 7924 8680 8773 9905 11320 12028 13580 15035 15848 17546 19810 21049 24056 27160 27451 30070 35092 39620 42098 43865 54902 60140 61411 70184 79240 84196 87730 105245 109804 120280 122822 137255 168392 175460 192157 210490 219608 245644 274510 307055 350920 384314 420980 491288 549020 614110 768628 841960 850981 960785 1098040 1228220 1537256 1701962 1921570 2456440 3403924 3843140 4254905 5956867 6807848 7686280 8509810 11913734 17019620 23827468 29784335 34039240 47654936 59568670 119137340 238274680