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730046016 = 26327181063
BaseRepresentation
bin101011100000111…
…001111001000000
31212212201011212100
4223200321321000
52443342433031
6200235230400
724043201020
oct5340717100
91785634770
10730046016
11345101417
121845a8400
13b832c2bb
146cd59a80
1544159de6
hex2b839e40

730046016 has 84 divisors (see below), whose sum is σ = 2391493312. Its totient is φ = 208583424.

The previous prime is 730045963. The next prime is 730046017. The reversal of 730046016 is 610640037.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (730046017) 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, 86500 + ... + 94563.

Almost surely, 2730046016 is an apocalyptic number.

It is an amenable number.

730046016 is an abundant number, since it is smaller than the sum of its proper divisors (1661447296).

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

730046016 is a wasteful number, since it uses less digits than its factorization.

730046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181088 (or 181075 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 730046016 is about 27019.3637230783. The cubic root of 730046016 is about 900.4302535397.

The spelling of 730046016 in words is "seven hundred thirty million, forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 181063 362126 543189 724252 1086378 1267441 1448504 1629567 2172756 2534882 2897008 3259134 3802323 4345512 5069764 5794016 6518268 7604646 8691024 10139528 11406969 11588032 13036536 15209292 17382048 20279056 22813938 26073072 30418584 34764096 40558112 45627876 52146144 60837168 81116224 91255752 104292288 121674336 182511504 243348672 365023008 730046016