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1328337276 = 223723496473
BaseRepresentation
bin100111100101100…
…1101000101111100
310102120111112011220
41033023031011330
510210023243101
6335450513340
744626452300
oct11713150574
93376445156
101328337276
116218a2502
12310a35850
1318227a1b6
14c85b9d00
157b93b636
hex4f2cd17c

1328337276 has 72 divisors (see below), whose sum is σ = 3616376400. Its totient is φ = 378379008.

The previous prime is 1328337247. The next prime is 1328337287. The reversal of 1328337276 is 6727338231.

It is a super-2 number, since 2×13283372762 = 3528959837622200352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201976 + ... + 208448.

It is an arithmetic number, because the mean of its divisors is an integer number (50227450).

Almost surely, 21328337276 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 1328337276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808188200).

1328337276 is an abundant number, since it is smaller than the sum of its proper divisors (2288039124).

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

1328337276 is a wasteful number, since it uses less digits than its factorization.

1328337276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6843 (or 6834 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 1328337276 is about 36446.3616291119. The cubic root of 1328337276 is about 1099.2659775184.

The spelling of 1328337276 in words is "one billion, three hundred twenty-eight million, three hundred thirty-seven thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 349 588 698 1047 1396 2094 2443 4188 4886 6473 7329 9772 12946 14658 17101 19419 25892 29316 34202 38838 45311 51303 68404 77676 90622 102606 135933 181244 205212 271866 317177 543732 634354 951531 1268708 1903062 2259077 3806124 4518154 6777231 9036308 13554462 15813539 27108924 31627078 47440617 63254156 94881234 110694773 189762468 221389546 332084319 442779092 664168638 1328337276