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1326334401 = 327229137757
BaseRepresentation
bin100111100001110…
…0100000111000001
310102102201202202100
41033003210013001
510204020200101
6335335541013
744603441100
oct11703440701
93372652670
101326334401
11620754737
1231022a769
13181a28672
14c8218037
157b692e86
hex4f0e41c1

1326334401 has 72 divisors (see below), whose sum is σ = 2325346920. Its totient is φ = 725469696.

The previous prime is 1326334393. The next prime is 1326334417. The reversal of 1326334401 is 1044336231.

1326334401 is a `hidden beast` number, since 1 + 326 + 334 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 314140176 + 1012194225 = 17724^2 + 31815^2 .

It is not a de Polignac number, because 1326334401 - 23 = 1326334393 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326334481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1751715 + ... + 1752471.

It is an arithmetic number, because the mean of its divisors is an integer number (32296485).

Almost surely, 21326334401 is an apocalyptic number.

It is an amenable number.

1326334401 is a deficient number, since it is larger than the sum of its proper divisors (999012519).

1326334401 is a wasteful number, since it uses less digits than its factorization.

1326334401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1326334401 is about 36418.8742412502. The cubic root of 1326334401 is about 1098.7132062990.

The spelling of 1326334401 in words is "one billion, three hundred twenty-six million, three hundred thirty-four thousand, four hundred one".

Divisors: 1 3 7 9 21 29 49 63 87 137 147 203 261 411 441 609 757 959 1233 1421 1827 2271 2877 3973 4263 5299 6713 6813 8631 11919 12789 15897 20139 21953 27811 35757 37093 47691 60417 65859 83433 103709 111279 153671 194677 197577 250299 311127 333837 461013 584031 725963 933381 1075697 1383039 1752093 2177889 3007561 3227091 5081741 6533667 9022683 9681273 15245223 21052927 27068049 45735669 63158781 147370489 189476343 442111467 1326334401