Search a number
-
+
1328294144 = 285188649
BaseRepresentation
bin100111100101100…
…0010100100000000
310102120102100000102
41033023002210000
510210020403034
6335445541532
744626212452
oct11713024400
93376370012
101328294144
11621873061
12310a148a8
13182263688
14c85a82d2
157b92d97e
hex4f2c2900

1328294144 has 18 divisors (see below), whose sum is σ = 2651400150. Its totient is φ = 664146944.

The previous prime is 1328294131. The next prime is 1328294207. The reversal of 1328294144 is 4414928231.

It can be written as a sum of positive squares in only one way, i.e., 1094815744 + 233478400 = 33088^2 + 15280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1328294098 and 1328294107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2594069 + ... + 2594580.

Almost surely, 21328294144 is an apocalyptic number.

It is an amenable number.

1328294144 is a deficient number, since it is larger than the sum of its proper divisors (1323106006).

1328294144 is an frugal number, since it uses more digits than its factorization.

1328294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188665 (or 5188651 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 1328294144 is about 36445.7699054362. The cubic root of 1328294144 is about 1099.2540794224.

The spelling of 1328294144 in words is "one billion, three hundred twenty-eight million, two hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 5188649 10377298 20754596 41509192 83018384 166036768 332073536 664147072 1328294144