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2983113384 = 2333122917509
BaseRepresentation
bin1011000111001110…
…1011001010101000
321200220020212020220
42301303223022220
522102134112014
61212002250040
7133632021366
oct26163531250
97626225226
102983113384
1112a0987269
126b3056920
13387051264
1420428c636
15126d5a6a9
hexb1ceb2a8

2983113384 has 64 divisors (see below), whose sum is σ = 7732416000. Its totient is φ = 958037760.

The previous prime is 2983113377. The next prime is 2983113451. The reversal of 2983113384 is 4833113892.

2983113384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161622 + ... + 179130.

It is an arithmetic number, because the mean of its divisors is an integer number (120819000).

Almost surely, 22983113384 is an apocalyptic number.

2983113384 is a gapful number since it is divisible by the number (24) 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 2983113384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866208000).

2983113384 is an abundant number, since it is smaller than the sum of its proper divisors (4749302616).

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

2983113384 is a wasteful number, since it uses less digits than its factorization.

2983113384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17778 (or 17774 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 2983113384 is about 54617.8852025598. The cubic root of 2983113384 is about 1439.5383975705.

The spelling of 2983113384 in words is "two billion, nine hundred eighty-three million, one hundred thirteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 229 248 372 458 687 744 916 1374 1832 2748 5496 7099 14198 17509 21297 28396 35018 42594 52527 56792 70036 85188 105054 140072 170376 210108 420216 542779 1085558 1628337 2171116 3256674 4009561 4342232 6513348 8019122 12028683 13026696 16038244 24057366 32076488 48114732 96229464 124296391 248592782 372889173 497185564 745778346 994371128 1491556692 2983113384