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1328307344 = 247133129429
BaseRepresentation
bin100111100101100…
…0101110010010000
310102120110000010022
41033023011302100
510210021313334
6335450123012
744626266110
oct11713056220
93376400108
101328307344
11621881a71
12310a20468
131822696a0
14c85ad040
157b93282e
hex4f2c5c90

1328307344 has 80 divisors (see below), whose sum is σ = 3269790720. Its totient is φ = 508515840.

The previous prime is 1328307307. The next prime is 1328307389. The reversal of 1328307344 is 4437038231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30422 + ... + 59850.

It is an arithmetic number, because the mean of its divisors is an integer number (40872384).

Almost surely, 21328307344 is an apocalyptic number.

1328307344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328307344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634895360).

1328307344 is an abundant number, since it is smaller than the sum of its proper divisors (1941483376).

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

1328307344 is a wasteful number, since it uses less digits than its factorization.

1328307344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29488 (or 29482 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 1328307344 is about 36445.9509959611. The cubic root of 1328307344 is about 1099.2577207107.

The spelling of 1328307344 in words is "one billion, three hundred twenty-eight million, three hundred seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1456 1612 1736 2821 3224 3472 5642 6448 11284 22568 29429 45136 58858 117716 206003 235432 382577 412006 470864 765154 824012 912299 1530308 1648024 1824598 2678039 3060616 3296048 3649196 5356078 6121232 6386093 7298392 10712156 11859887 12772186 14596784 21424312 23719774 25544372 42848624 47439548 51088744 83019209 94879096 102177488 166038418 189758192 332076836 664153672 1328307344