Search a number
-
+
243721632 = 25371132971
BaseRepresentation
bin11101000011011…
…10010110100000
3121222121100020010
432201232112200
5444343043012
640103444520
76016412460
oct1641562640
9558540203
10243721632
11115635740
1269756740
133b654aab
1424523ba0
15165e3c3c
hexe86e5a0

243721632 has 96 divisors (see below), whose sum is σ = 797658624. Its totient is φ = 63302400.

The previous prime is 243721609. The next prime is 243721663. The reversal of 243721632 is 236127342.

243721632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 243721632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9094 + ... + 23877.

It is an arithmetic number, because the mean of its divisors is an integer number (8308944).

Almost surely, 2243721632 is an apocalyptic number.

243721632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

243721632 is an abundant number, since it is smaller than the sum of its proper divisors (553936992).

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

243721632 is a wasteful number, since it uses less digits than its factorization.

243721632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33002 (or 32994 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 243721632 is about 15611.5864664678. The cubic root of 243721632 is about 624.6422545749.

Adding to 243721632 its reverse (236127342), we get a palindrome (479848974).

The spelling of 243721632 in words is "two hundred forty-three million, seven hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 32971 65942 98913 131884 197826 230797 263768 362681 395652 461594 527536 692391 725362 791304 923188 1055072 1088043 1384782 1450724 1582608 1846376 2176086 2538767 2769564 2901448 3165216 3692752 4352172 5077534 5539128 5802896 7385504 7616301 8704344 10155068 11078256 11605792 15232602 17408688 20310136 22156512 30465204 34817376 40620272 60930408 81240544 121860816 243721632