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1329387768 = 233352111813
BaseRepresentation
bin100111100111100…
…1101100011111000
310102122110220012000
41033033031203320
510210310402033
6335525221000
744641416042
oct11717154370
93378426160
101329387768
1162244a785
12311261760
131825573a7
14c87b0a92
157ba97a13
hex4f3cd8f8

1329387768 has 64 divisors (see below), whose sum is σ = 3700144800. Its totient is φ = 442241280.

The previous prime is 1329387757. The next prime is 1329387769. The reversal of 1329387768 is 8677839231.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329387769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106630 + ... + 118442.

Almost surely, 21329387768 is an apocalyptic number.

1329387768 is a gapful number since it is divisible by the number (18) 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 1329387768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850072400).

1329387768 is an abundant number, since it is smaller than the sum of its proper divisors (2370757032).

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

1329387768 is a wasteful number, since it uses less digits than its factorization.

1329387768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12349 (or 12339 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 1329387768 is about 36460.7702606514. The cubic root of 1329387768 is about 1099.5556795040. Note that the first 3 decimals are identical.

The spelling of 1329387768 in words is "one billion, three hundred twenty-nine million, three hundred eighty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 521 1042 1563 2084 3126 4168 4689 6252 9378 11813 12504 14067 18756 23626 28134 35439 37512 47252 56268 70878 94504 106317 112536 141756 212634 283512 318951 425268 637902 850536 1275804 2551608 6154573 12309146 18463719 24618292 36927438 49236584 55391157 73854876 110782314 147709752 166173471 221564628 332346942 443129256 664693884 1329387768