Search a number
-
+
238243764 = 223112277951
BaseRepresentation
bin11100011001101…
…00111110110100
3121121022001000010
432030310332310
5441442300024
635350220220
75622016143
oct1614647664
9547261003
10238243764
11112534080
1267954670
133a487655
14238d975a
1515db0b29
hexe334fb4

238243764 has 48 divisors (see below), whose sum is σ = 609186816. Its totient is φ = 71868000.

The previous prime is 238243751. The next prime is 238243769. The reversal of 238243764 is 467342832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238243769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25989 + ... + 33939.

It is an arithmetic number, because the mean of its divisors is an integer number (12691392).

Almost surely, 2238243764 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 238243764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304593408).

238243764 is an abundant number, since it is smaller than the sum of its proper divisors (370943052).

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

238243764 is a wasteful number, since it uses less digits than its factorization.

238243764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8196 (or 8194 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 238243764 is about 15435.1470352569. The cubic root of 238243764 is about 619.9269459537.

The spelling of 238243764 in words is "two hundred thirty-eight million, two hundred forty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 227 454 681 908 1362 2497 2724 4994 7491 7951 9988 14982 15902 23853 29964 31804 47706 87461 95412 174922 262383 349844 524766 1049532 1804877 3609754 5414631 7219508 10829262 19853647 21658524 39707294 59560941 79414588 119121882 238243764