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238328892 = 22341017283
BaseRepresentation
bin11100011010010…
…01110000111100
3121121110100210000
432031021300330
5442003011032
635352114300
75622522264
oct1615116074
9547410700
10238328892
1111259202a
1267995990
133a4b7319
142391c7a4
1515dcae7c
hexe349c3c

238328892 has 60 divisors (see below), whose sum is σ = 629293896. Its totient is φ = 78645600.

The previous prime is 238328879. The next prime is 238328897. The reversal of 238328892 is 298823832.

238328892 is a `hidden beast` number, since 238 + 328 + 8 + 92 = 666.

238328892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238328897) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29083 + ... + 36365.

Almost surely, 2238328892 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 238328892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314646948).

238328892 is an abundant number, since it is smaller than the sum of its proper divisors (390965004).

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

238328892 is a wasteful number, since it uses less digits than its factorization.

238328892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400 (or 7389 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 238328892 is about 15437.9043914645. The cubic root of 238328892 is about 620.0007734989. Note that the first 3 decimals are identical.

The spelling of 238328892 in words is "two hundred thirty-eight million, three hundred twenty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2727 3636 5454 7283 8181 10908 14566 16362 21849 29132 32724 43698 65547 87396 131094 196641 262188 393282 589923 735583 786564 1179846 1471166 2206749 2359692 2942332 4413498 6620247 8826996 13240494 19860741 26480988 39721482 59582223 79442964 119164446 238328892