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238248 = 23331103
BaseRepresentation
bin111010001010101000
3110002211000
4322022220
530110443
65035000
72011413
oct721250
9402730
10238248
11152aaa
12b5a60
138459a
1462b7a
154a8d3
hex3a2a8

238248 has 32 divisors (see below), whose sum is σ = 662400. Its totient is φ = 79344.

The previous prime is 238247. The next prime is 238261. The reversal of 238248 is 842832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 238248.

It is not an unprimeable number, because it can be changed into a prime (238247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (20700).

2238248 is an apocalyptic number.

It is an amenable number.

238248 is an abundant number, since it is smaller than the sum of its proper divisors (424152).

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

238248 is a wasteful number, since it uses less digits than its factorization.

238248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1108 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 238248 is about 488.1065457459. The cubic root of 238248 is about 61.9930620055.

It can be divided in two parts, 23824 and 8, that added together give a palindrome (23832).

The spelling of 238248 in words is "two hundred thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1103 2206 3309 4412 6618 8824 9927 13236 19854 26472 29781 39708 59562 79416 119124 238248