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1323379328 = 271812392
BaseRepresentation
bin100111011100001…
…0010101010000000
310102020011122011012
41032320102222000
510202241114303
6335152340052
744536352525
oct11670225200
93366148135
101323379328
1161a016527
1230b244628
131812325bb
14c7a8914c
157b2ac5d8
hex4ee12a80

1323379328 has 48 divisors (see below), whose sum is σ = 2662124010. Its totient is φ = 655280640.

The previous prime is 1323379327. The next prime is 1323379357. The reversal of 1323379328 is 8239733231.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1319723584 + 3655744 = 36328^2 + 1912^2 .

It is not an unprimeable number, because it can be changed into a prime (1323379327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5537033 + ... + 5537271.

Almost surely, 21323379328 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 1323379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331062005).

1323379328 is an abundant number, since it is smaller than the sum of its proper divisors (1338744682).

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

1323379328 is an frugal number, since it uses more digits than its factorization.

1323379328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 422 counting only the distinct ones).

The product of its digits is 163296, while the sum is 41.

The square root of 1323379328 is about 36378.2809929221. The cubic root of 1323379328 is about 1097.8966218864.

The spelling of 1323379328 in words is "one billion, three hundred twenty-three million, three hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 181 239 362 478 724 956 1448 1912 2896 3824 5792 7648 11584 15296 23168 30592 43259 57121 86518 114242 173036 228484 346072 456968 692144 913936 1384288 1827872 2768576 3655744 5537152 7311488 10338901 20677802 41355604 82711208 165422416 330844832 661689664 1323379328