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2306006912 = 27116126849
BaseRepresentation
bin1000100101110010…
…1101111110000000
312221201011021210102
42021130231332000
514210314210122
61020453421532
7111100510136
oct21134557600
95851137712
102306006912
11a83754140
1254433a8a8
132a9999341
1417c393756
15d76ab492
hex8972df80

2306006912 has 64 divisors (see below), whose sum is σ = 5093982000. Its totient is φ = 1030963200.

The previous prime is 2306006909. The next prime is 2306006947. The reversal of 2306006912 is 2196006032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72464 + ... + 99312.

Almost surely, 22306006912 is an apocalyptic number.

2306006912 is a gapful number since it is divisible by the number (22) 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 2306006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546991000).

2306006912 is an abundant number, since it is smaller than the sum of its proper divisors (2787975088).

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

2306006912 is a wasteful number, since it uses less digits than its factorization.

2306006912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26935 (or 26923 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 2306006912 is about 48020.9007828883. The cubic root of 2306006912 is about 1321.1542765417.

The spelling of 2306006912 in words is "two billion, three hundred six million, six thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 352 488 671 704 976 1342 1408 1952 2684 3904 5368 7808 10736 21472 26849 42944 53698 85888 107396 214792 295339 429584 590678 859168 1181356 1637789 1718336 2362712 3275578 3436672 4725424 6551156 9450848 13102312 18015679 18901696 26204624 36031358 37803392 52409248 72062716 104818496 144125432 209636992 288250864 576501728 1153003456 2306006912