Search a number
-
+
232740 = 22335431
BaseRepresentation
bin111000110100100100
3102211021000
4320310210
524421430
64553300
71656354
oct706444
9384230
10232740
11149952
12b2830
1381c21
1460b64
1548e60
hex38d24

232740 has 48 divisors (see below), whose sum is σ = 725760. Its totient is φ = 61920.

The previous prime is 232711. The next prime is 232741. The reversal of 232740 is 47232.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (232741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2232740 is an apocalyptic number.

232740 is a gapful number since it is divisible by the number (20) 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 232740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

232740 is an abundant number, since it is smaller than the sum of its proper divisors (493020).

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

232740 is a wasteful number, since it uses less digits than its factorization.

232740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 232740 is about 482.4313422654. The cubic root of 232740 is about 61.5115980506.

Adding to 232740 its reverse (47232), we get a palindrome (279972).

The spelling of 232740 in words is "two hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 431 540 862 1293 1724 2155 2586 3879 4310 5172 6465 7758 8620 11637 12930 15516 19395 23274 25860 38790 46548 58185 77580 116370 232740