Search a number
-
+
232974 = 2327432
BaseRepresentation
bin111000111000001110
3102211120200
4320320032
524423344
64554330
71660140
oct707016
9384520
10232974
1114a045
12b29a6
1382071
1460c90
1549069
hex38e0e

232974 has 36 divisors (see below), whose sum is σ = 590616. Its totient is φ = 65016.

The previous prime is 232963. The next prime is 232987. The reversal of 232974 is 479232.

232974 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

232974 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5397 + ... + 5439.

It is an arithmetic number, because the mean of its divisors is an integer number (16406).

232974 is a Friedman number, since it can be written as 43^2*9*7*2, using all its digits and the basic arithmetic operations.

2232974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295308).

232974 is an abundant number, since it is smaller than the sum of its proper divisors (357642).

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

232974 is a wasteful number, since it uses less digits than its factorization.

232974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 55 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 232974 is about 482.6738028938. The cubic root of 232974 is about 61.5322060148.

The spelling of 232974 in words is "two hundred thirty-two thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 1849 2709 3698 5418 5547 11094 12943 16641 25886 33282 38829 77658 116487 232974