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2304835712 = 27612111399
BaseRepresentation
bin1000100101100001…
…0000000010000000
312221121221210012122
42021120100002000
514210014220322
61020412343412
7111054531434
oct21130200200
95847853178
102304835712
11a83024203
12543a74b68
132a967921a
1417c16a9c4
15d7529442
hex89610080

2304835712 has 64 divisors (see below), whose sum is σ = 4692408000. Its totient is φ = 1127347200.

The previous prime is 2304835703. The next prime is 2304835723. The reversal of 2304835712 is 2175384032.

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

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1646789 + ... + 1648187.

It is an arithmetic number, because the mean of its divisors is an integer number (73318875).

Almost surely, 22304835712 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 2304835712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346204000).

2304835712 is an abundant number, since it is smaller than the sum of its proper divisors (2387572288).

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

2304835712 is a wasteful number, since it uses less digits than its factorization.

2304835712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2304835712 is about 48008.7045440720. The cubic root of 2304835712 is about 1320.9305712392.

The spelling of 2304835712 in words is "two billion, three hundred four million, eight hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 211 244 422 488 844 976 1399 1688 1952 2798 3376 3904 5596 6752 7808 11192 12871 13504 22384 25742 27008 44768 51484 85339 89536 102968 170678 179072 205936 295189 341356 411872 590378 682712 823744 1180756 1365424 1647488 2361512 2730848 4723024 5461696 9446048 10923392 18006529 18892096 36013058 37784192 72026116 144052232 288104464 576208928 1152417856 2304835712