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350817930 = 232529139967
BaseRepresentation
bin10100111010010…
…000111010001010
3220110010101201200
4110322100322022
51204302133210
654451125030
711456621541
oct2472207212
9813111650
10350817930
11170033781
12995a3776
13578b1598
1434841158
1520beb0c0
hex14e90e8a

350817930 has 96 divisors (see below), whose sum is σ = 951350400. Its totient is φ = 89582976.

The previous prime is 350817911. The next prime is 350817937. The reversal of 350817930 is 39718053.

It is not an unprimeable number, because it can be changed into a prime (350817937) 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 47 ways as a sum of consecutive naturals, for example, 362307 + ... + 363273.

It is an arithmetic number, because the mean of its divisors is an integer number (9909900).

Almost surely, 2350817930 is an apocalyptic number.

350817930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 350817930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475675200).

350817930 is an abundant number, since it is smaller than the sum of its proper divisors (600532470).

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

350817930 is a wasteful number, since it uses less digits than its factorization.

350817930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 350817930 is about 18730.1342760804. The cubic root of 350817930 is about 705.2784172706.

The spelling of 350817930 in words is "three hundred fifty million, eight hundred seventeen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 139 145 174 261 278 290 417 435 522 695 834 870 967 1251 1305 1390 1934 2085 2502 2610 2901 4031 4170 4835 5802 6255 8062 8703 9670 12093 12510 14505 17406 20155 24186 28043 29010 36279 40310 43515 56086 60465 72558 84129 87030 120930 134413 140215 168258 181395 252387 268826 280430 362790 403239 420645 504774 672065 806478 841290 1209717 1261935 1344130 2016195 2419434 2523870 3897977 4032390 6048585 7795954 11693931 12097170 19489885 23387862 35081793 38979770 58469655 70163586 116939310 175408965 350817930