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1329080364 = 2232533072269
BaseRepresentation
bin100111100111000…
…0010100000101100
310102121220021111200
41033032002200230
510210221032424
6335514445500
744635665603
oct11716024054
93377807450
101329080364
1162225a827
12311133890
1318247a4b1
14c8730a3a
157ba368c9
hex4f38282c

1329080364 has 72 divisors (see below), whose sum is σ = 3435672240. Its totient is φ = 433060992.

The previous prime is 1329080359. The next prime is 1329080371. The reversal of 1329080364 is 4630809231.

1329080364 is a `hidden beast` number, since 1 + 3 + 290 + 8 + 0 + 364 = 666.

It is a super-2 number, since 2×13290803642 = 3532909227940744992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 584622 + ... + 586890.

It is an arithmetic number, because the mean of its divisors is an integer number (47717670).

Almost surely, 21329080364 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 1329080364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717836120).

1329080364 is an abundant number, since it is smaller than the sum of its proper divisors (2106591876).

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

1329080364 is a wasteful number, since it uses less digits than its factorization.

1329080364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1329080364 is about 36456.5544724128. The cubic root of 1329080364 is about 1099.4709202188.

Adding to 1329080364 its reverse (4630809231), we get a palindrome (5959889595).

The spelling of 1329080364 in words is "one billion, three hundred twenty-nine million, eighty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 307 318 477 614 636 921 954 1228 1842 1908 2269 2763 3684 4538 5526 6807 9076 11052 13614 16271 20421 27228 32542 40842 48813 65084 81684 97626 120257 146439 195252 240514 292878 360771 481028 585756 696583 721542 1082313 1393166 1443084 2089749 2164626 2786332 4179498 4329252 6269247 8358996 12538494 25076988 36918899 73837798 110756697 147675596 221513394 332270091 443026788 664540182 1329080364