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2084394112 = 2737736029
BaseRepresentation
bin111110000111101…
…0101010010000000
312101021011012011221
41330033111102000
513232101102422
6542455444424
7102440025523
oct17417252200
95337135157
102084394112
1197a64a169
124a2086714
13272ab57c8
1415ab86bba
15c2ed33c7
hex7c3d5480

2084394112 has 64 divisors (see below), whose sum is σ = 4323871800. Its totient is φ = 999972864.

The previous prime is 2084394077. The next prime is 2084394127. The reversal of 2084394112 is 2114934802.

It can be written as a sum of positive squares in 4 ways, for example, as 2048105536 + 36288576 = 45256^2 + 6024^2 .

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

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, 342714 + ... + 348742.

Almost surely, 22084394112 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 2084394112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161935900).

2084394112 is an abundant number, since it is smaller than the sum of its proper divisors (2239477688).

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

2084394112 is an equidigital number, since it uses as much as digits as its factorization.

2084394112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2084394112 is about 45655.1652280440. The cubic root of 2084394112 is about 1277.3991197947.

The spelling of 2084394112 in words is "two billion, eighty-four million, three hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 73 74 128 146 148 292 296 584 592 1168 1184 2336 2368 2701 4672 4736 5402 6029 9344 10804 12058 21608 24116 43216 48232 86432 96464 172864 192928 223073 345728 385856 440117 446146 771712 880234 892292 1760468 1784584 3520936 3569168 7041872 7138336 14083744 14276672 16284329 28167488 28553344 32568658 56334976 65137316 130274632 260549264 521098528 1042197056 2084394112