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2731804290 = 2325172127827
BaseRepresentation
bin1010001011010100…
…0000011010000010
321001101101000222200
42202311000122002
521043320214130
61131024014030
7124460644665
oct24265003202
97041330880
102731804290
111182039aa6
12642a61316
13346c70a57
141bcb516dc
1510ec68760
hexa2d40682

2731804290 has 144 divisors (see below), whose sum is σ = 7613678592. Its totient is φ = 679408128.

The previous prime is 2731804261. The next prime is 2731804303. The reversal of 2731804290 is 924081372.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3302857 + ... + 3303683.

It is an arithmetic number, because the mean of its divisors is an integer number (52872768).

Almost surely, 22731804290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2731804290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806839296).

2731804290 is an abundant number, since it is smaller than the sum of its proper divisors (4881874302).

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

2731804290 is a wasteful number, since it uses less digits than its factorization.

2731804290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2731804290 is about 52266.6651892007. The cubic root of 2731804290 is about 1397.9228192699.

The spelling of 2731804290 in words is "two billion, seven hundred thirty-one million, eight hundred four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 127 153 170 254 255 289 306 381 510 578 635 762 765 827 867 1143 1270 1445 1530 1654 1734 1905 2159 2286 2481 2601 2890 3810 4135 4318 4335 4962 5202 5715 6477 7443 8270 8670 10795 11430 12405 12954 13005 14059 14886 19431 21590 24810 26010 28118 32385 36703 37215 38862 42177 64770 70295 73406 74430 84354 97155 105029 110109 126531 140590 183515 194310 210058 210885 220218 239003 253062 315087 330327 367030 421770 478006 525145 550545 630174 632655 660654 717009 945261 1050290 1101090 1195015 1265310 1434018 1575435 1651635 1785493 1890522 2151027 2390030 3150870 3303270 3570986 3585045 4302054 4726305 5356479 7170090 8927465 9452610 10712958 10755135 16069437 17854930 21510270 26782395 30353381 32138874 53564790 60706762 80347185 91060143 151766905 160694370 182120286 273180429 303533810 455300715 546360858 910601430 1365902145 2731804290