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3979321344 = 213351999
BaseRepresentation
bin1110110100101111…
…1010000000000000
3101021022210110200000
43231023322000000
531122201240334
61454510400000
7200416446645
oct35513720000
911238713600
103979321344
111762250029
12930800000
134b556141b
1429a6cddcc
1518453d299
hexed2fa000

3979321344 has 168 divisors, whose sum is σ = 11926824000. Its totient is φ = 1325776896.

The previous prime is 3979321331. The next prime is 3979321349. The reversal of 3979321344 is 4431239793.

3979321344 is a `hidden beast` number, since 397 + 9 + 3 + 213 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3979321344.

It is not an unprimeable number, because it can be changed into a prime (3979321349) 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 11 ways as a sum of consecutive naturals, for example, 1989657 + ... + 1991655.

It is an arithmetic number, because the mean of its divisors is an integer number (70993000).

Almost surely, 23979321344 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 3979321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963412000).

3979321344 is an abundant number, since it is smaller than the sum of its proper divisors (7947502656).

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

3979321344 is an frugal number, since it uses more digits than its factorization.

3979321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2004 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 3979321344 is about 63081.8622426447. The cubic root of 3979321344 is about 1584.6608812516.

The spelling of 3979321344 in words is "three billion, nine hundred seventy-nine million, three hundred twenty-one thousand, three hundred forty-four".