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349831020 = 223571175721
BaseRepresentation
bin10100110110011…
…111111101101100
3220101021020221110
4110312133331230
51204024043040
654414032020
711445341340
oct2466377554
9811236843
10349831020
1116a51a250
12991a8610
1357627306
1434665620
1520aa3980
hex14d9ff6c

349831020 has 96 divisors (see below), whose sum is σ = 1221244416. Its totient is φ = 72691200.

The previous prime is 349830961. The next prime is 349831033. The reversal of 349831020 is 20138943.

349831020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33241 + ... + 42480.

It is an arithmetic number, because the mean of its divisors is an integer number (12721296).

Almost surely, 2349831020 is an apocalyptic number.

349831020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349831020 is an abundant number, since it is smaller than the sum of its proper divisors (871413396).

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

349831020 is a wasteful number, since it uses less digits than its factorization.

349831020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75751 (or 75749 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 349831020 is about 18703.7702081693. The cubic root of 349831020 is about 704.6164404218.

Adding to 349831020 its reverse (20138943), we get a palindrome (369969963).

The spelling of 349831020 in words is "three hundred forty-nine million, eight hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 75721 151442 227163 302884 378605 454326 530047 757210 832931 908652 1060094 1135815 1514420 1590141 1665862 2120188 2271630 2498793 2650235 3180282 3331724 4164655 4543260 4997586 5300470 5830517 6360564 7950705 8329310 9995172 10600940 11661034 12493965 15901410 16658620 17491551 23322068 24987930 29152585 31802820 34983102 49975860 58305170 69966204 87457755 116610340 174915510 349831020