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238338072 = 23337283557
BaseRepresentation
bin11100011010011…
…00000000011000
3121121110211101000
432031030000120
5442003304242
635352225000
75622561120
oct1615140030
9547424330
10238338072
11112598a15
126799b160
133a4bb55b
1423921c80
1515dcda4c
hexe34c018

238338072 has 128 divisors (see below), whose sum is σ = 760665600. Its totient is φ = 67734144.

The previous prime is 238338059. The next prime is 238338077. The reversal of 238338072 is 270833832.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238338077) 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, 427618 + ... + 428174.

It is an arithmetic number, because the mean of its divisors is an integer number (5942700).

Almost surely, 2238338072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238338072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380332800).

238338072 is an abundant number, since it is smaller than the sum of its proper divisors (522327528).

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

238338072 is a wasteful number, since it uses less digits than its factorization.

238338072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 238338072 is about 15438.2017087483. The cubic root of 238338072 is about 620.0087338347.

The spelling of 238338072 in words is "two hundred thirty-eight million, three hundred thirty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 283 378 504 557 566 756 849 1114 1132 1512 1671 1698 1981 2228 2264 2547 3342 3396 3899 3962 4456 5013 5094 5943 6684 6792 7641 7798 7924 10026 10188 11697 11886 13368 15039 15282 15596 15848 17829 20052 20376 23394 23772 30078 30564 31192 35091 35658 40104 46788 47544 53487 60156 61128 70182 71316 93576 105273 106974 120312 140364 142632 157631 210546 213948 280728 315262 421092 427896 472893 630524 842184 945786 1103417 1261048 1418679 1891572 2206834 2837358 3310251 3783144 4256037 4413668 5674716 6620502 8512074 8827336 9930753 11349432 13241004 17024148 19861506 26482008 29792259 34048296 39723012 59584518 79446024 119169036 238338072