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1328748304 = 241327012
BaseRepresentation
bin100111100110011…
…0001011100010000
310102121021102000011
41033030301130100
510210124421204
6335503404304
744633113522
oct11714613420
93377242004
101328748304
116220532a4
12310bb3694
13182392300
14c8685a12
157b9bd304
hex4f331710

1328748304 has 45 divisors (see below), whose sum is σ = 2791700319. Its totient is φ = 612393600.

The previous prime is 1328748301. The next prime is 1328748313. The reversal of 1328748304 is 4038478231.

The square root of 1328748304 is 36452.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 291600 + 1328456704 = 540^2 + 36448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1328748301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1895154 + ... + 1895854.

Almost surely, 21328748304 is an apocalyptic number.

1328748304 is the 36452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328748304

1328748304 is an abundant number, since it is smaller than the sum of its proper divisors (1462952015).

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

1328748304 is an frugal number, since it uses more digits than its factorization.

1328748304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The cubic root of 1328748304 is about 1099.3793479475.

The spelling of 1328748304 in words is "one billion, three hundred twenty-eight million, seven hundred forty-eight thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 701 1352 1402 2704 2804 5608 9113 11216 18226 36452 72904 118469 145808 236938 473876 491401 947752 982802 1895504 1965604 3931208 6388213 7862416 12776426 25552852 51105704 83046769 102211408 166093538 332187076 664374152 1328748304