Search a number
-
+
144304072 = 23111799161
BaseRepresentation
bin10001001100111…
…10011111001000
3101001112101222021
420212132133020
5243420212242
622152534224
73401364403
oct1046363710
9331471867
10144304072
1174501870
12403b1374
1323b86433
1415244d3a
15ca06b67
hex899e7c8

144304072 has 32 divisors (see below), whose sum is σ = 296848800. Its totient is φ = 65219200.

The previous prime is 144304037. The next prime is 144304073. The reversal of 144304072 is 270403441.

144304072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144304073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11172 + ... + 20332.

It is an arithmetic number, because the mean of its divisors is an integer number (9276525).

Almost surely, 2144304072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144304072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148424400).

144304072 is an abundant number, since it is smaller than the sum of its proper divisors (152544728).

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

144304072 is a wasteful number, since it uses less digits than its factorization.

144304072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9357 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 144304072 is about 12012.6629853667. The cubic root of 144304072 is about 524.5169519085.

The spelling of 144304072 in words is "one hundred forty-four million, three hundred four thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 179 358 716 1432 1969 3938 7876 9161 15752 18322 36644 73288 100771 201542 403084 806168 1639819 3279638 6559276 13118552 18038009 36076018 72152036 144304072