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1328708448 = 2535170873
BaseRepresentation
bin100111100110010…
…0111101101100000
310102121012101100000
41033030213231200
510210122132243
6335502500000
744632556364
oct11714475540
93377171300
101328708448
11622026361
12310b94600
1318237a122
14c86752a4
157b9b15d3
hex4f327b60

1328708448 has 72 divisors (see below), whose sum is σ = 3918482568. Its totient is φ = 442900224.

The previous prime is 1328708419. The next prime is 1328708449. The reversal of 1328708448 is 8448078231.

1328708448 is a `hidden beast` number, since 132 + 8 + 70 + 8 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13287084482 = 3530932279573137408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328708449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77661 + ... + 93212.

It is an arithmetic number, because the mean of its divisors is an integer number (54423369).

Almost surely, 21328708448 is an apocalyptic number.

1328708448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1328708448 is an abundant number, since it is smaller than the sum of its proper divisors (2589774120).

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

1328708448 is an equidigital number, since it uses as much as digits as its factorization.

1328708448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170898 (or 170878 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 1328708448 is about 36451.4533043609. The cubic root of 1328708448 is about 1099.3683558228.

The spelling of 1328708448 in words is "one billion, three hundred twenty-eight million, seven hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 170873 341746 512619 683492 1025238 1366984 1537857 2050476 2733968 3075714 4100952 4613571 5467936 6151428 8201904 9227142 12302856 13840713 16403808 18454284 24605712 27681426 36908568 41522139 49211424 55362852 73817136 83044278 110725704 147634272 166088556 221451408 332177112 442902816 664354224 1328708448