Search a number
238663824 = 24372389347
BaseRepresentation
bin11100011100110…
…11100010010000
3121122002101012220
432032123202100
5442044220244
635403221040
75625415620
oct1616334220
9548071186
10238663824
111127a0733
1267b17780
133a5a38c9
14239a8880
1515e45319
hexe39b890

238663824 has 160 divisors (see below), whose sum is σ = 745666560. Its totient is φ = 64306176.

The previous prime is 238663811. The next prime is 238663837. The reversal of 238663824 is 428366832.

It is an interprime number because it is at equal distance from previous prime (238663811) and next prime (238663837).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687619 + ... + 687965.

It is an arithmetic number, because the mean of its divisors is an integer number (4660416).

Almost surely, 2238663824 is an apocalyptic number.

238663824 is a gapful number since it is divisible by the number (24) 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 238663824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372833280).

238663824 is an abundant number, since it is smaller than the sum of its proper divisors (507002736).

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

238663824 is a wasteful number, since it uses less digits than its factorization.

238663824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 238663824 is about 15448.7482988105. The cubic root of 238663824 is about 620.2910738716.

The spelling of 238663824 in words is "two hundred thirty-eight million, six hundred sixty-three thousand, eight hundred twenty-four".