Search a number
-
+
232308 = 2235239
BaseRepresentation
bin111000101101110100
3102210200000
4320231310
524413213
64551300
71655166
oct705564
9383600
10232308
1114959a
12b2530
138197b
1460936
1548c73
hex38b74

232308 has 36 divisors (see below), whose sum is σ = 611520. Its totient is φ = 77112.

The previous prime is 232307. The next prime is 232333. The reversal of 232308 is 803232.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232303) 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, 853 + ... + 1091.

2232308 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 232308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305760).

232308 is an abundant number, since it is smaller than the sum of its proper divisors (379212).

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

232308 is a wasteful number, since it uses less digits than its factorization.

232308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 232308 is about 481.9834022039. The cubic root of 232308 is about 61.4735162591.

The spelling of 232308 in words is "two hundred thirty-two thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 239 243 324 478 486 717 956 972 1434 2151 2868 4302 6453 8604 12906 19359 25812 38718 58077 77436 116154 232308