Search a number
-
+
234240 = 283561
BaseRepresentation
bin111001001100000000
3102220022120
4321030000
524443430
65004240
71663626
oct711400
9386276
10234240
1114aa96
12b3680
1382806
1461516
1549610
hex39300

234240 has 72 divisors (see below), whose sum is σ = 760368. Its totient is φ = 61440.

The previous prime is 234239. The next prime is 234259. The reversal of 234240 is 42432.

It is a happy number.

234240 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3810 + ... + 3870.

2234240 is an apocalyptic number.

234240 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 234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380184).

234240 is an abundant number, since it is smaller than the sum of its proper divisors (526128).

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

234240 is an equidigital number, since it uses as much as digits as its factorization.

234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 234240 is about 483.9834707921. The cubic root of 234240 is about 61.6434617667.

Adding to 234240 its product of nonzero digits (192), we get a palindrome (234432).

Adding to 234240 its reverse (42432), we get a palindrome (276672).

It can be divided in two parts, 234 and 240, that added together give a palindrome (474).

The spelling of 234240 in words is "two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 256 305 320 366 384 480 488 610 640 732 768 915 960 976 1220 1280 1464 1830 1920 1952 2440 2928 3660 3840 3904 4880 5856 7320 7808 9760 11712 14640 15616 19520 23424 29280 39040 46848 58560 78080 117120 234240