Search a number
-
+
320000144 = 2461327869
BaseRepresentation
bin10011000100101…
…101000010010000
3211022010200200012
4103010231002100
51123410001034
651430414052
710633646012
oct2304550220
9738120605
10320000144
111546a4932
128b201328
13513b12c9
14306dc1b2
151d15ecce
hex1312d090

320000144 has 20 divisors (see below), whose sum is σ = 630166140. Its totient is φ = 157376640.

The previous prime is 320000143. The next prime is 320000171. The reversal of 320000144 is 441000023.

It can be written as a sum of positive squares in 2 ways, for example, as 9535744 + 310464400 = 3088^2 + 17620^2 .

320000144 is a modest number, since divided by 144 gives 32 as remainder.

It is not an unprimeable number, because it can be changed into a prime (320000143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162959 + ... + 164910.

It is an arithmetic number, because the mean of its divisors is an integer number (31508307).

Almost surely, 2320000144 is an apocalyptic number.

It is an amenable number.

320000144 is a deficient number, since it is larger than the sum of its proper divisors (310165996).

320000144 is a wasteful number, since it uses less digits than its factorization.

320000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327938 (or 327932 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 320000144 is about 17888.5478449202. The cubic root of 320000144 is about 683.9904812692.

Adding to 320000144 its reverse (441000023), we get a palindrome (761000167).

The spelling of 320000144 in words is "three hundred twenty million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 61 122 244 488 976 327869 655738 1311476 2622952 5245904 20000009 40000018 80000036 160000072 320000144