Search a number
-
+
238924 = 22722353
BaseRepresentation
bin111010010101001100
3110010202001
4322111030
530121144
65042044
72013400
oct722514
9403661
10238924
11153564
12b6324
138499a
1463100
154abd4
hex3a54c

238924 has 36 divisors (see below), whose sum is σ = 517104. Its totient is φ = 96096.

The previous prime is 238921. The next prime is 238939. The reversal of 238924 is 429832.

238924 = T21 + T22 + ... + T112.

238924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 238892 and 238901.

It is not an unprimeable number, because it can be changed into a prime (238921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4482 + ... + 4534.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2238924 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 238924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258552).

238924 is an abundant number, since it is smaller than the sum of its proper divisors (278180).

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

238924 is a wasteful number, since it uses less digits than its factorization.

238924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 238924 is about 488.7985270027. The cubic root of 238924 is about 62.0516392536.

It can be divided in two parts, 238 and 924, that multiplied together give a palindrome (219912).

The spelling of 238924 in words is "two hundred thirty-eight thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 49 53 92 98 106 161 196 212 322 371 644 742 1127 1219 1484 2254 2438 2597 4508 4876 5194 8533 10388 17066 34132 59731 119462 238924