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349826568 = 233713315167
BaseRepresentation
bin10100110110011…
…110111000001000
3220101021000211120
4110312132320020
51204023422233
654413555240
711445322350
oct2466367010
9811230746
10349826568
1116a516973
12991a5b20
1357625290
1434663b60
1520aa24b3
hex14d9ee08

349826568 has 128 divisors (see below), whose sum is σ = 1111326720. Its totient is φ = 89268480.

The previous prime is 349826551. The next prime is 349826569. The reversal of 349826568 is 865628943.

It is a self number, because there is not a number n which added to its sum of digits gives 349826568.

It is not an unprimeable number, because it can be changed into a prime (349826569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65121 + ... + 70287.

It is an arithmetic number, because the mean of its divisors is an integer number (8682240).

Almost surely, 2349826568 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 349826568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555663360).

349826568 is an abundant number, since it is smaller than the sum of its proper divisors (761500152).

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

349826568 is a wasteful number, since it uses less digits than its factorization.

349826568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5227 (or 5223 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 349826568 is about 18703.6511943524. The cubic root of 349826568 is about 704.6134513923.

The spelling of 349826568 in words is "three hundred forty-nine million, eight hundred twenty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 1092 1209 1302 1612 1736 2184 2418 2604 2821 3224 4836 5167 5208 5642 8463 9672 10334 11284 15501 16926 20668 22568 31002 33852 36169 41336 62004 67171 67704 72338 108507 124008 134342 144676 160177 201513 217014 268684 289352 320354 403026 434028 470197 480531 537368 640708 806052 868056 940394 961062 1121239 1281416 1410591 1612104 1880788 1922124 2082301 2242478 2821182 3363717 3761576 3844248 4164602 4484956 5642364 6246903 6727434 8329204 8969912 11284728 12493806 13454868 14576107 16658408 24987612 26909736 29152214 43728321 49975224 58304428 87456642 116608856 174913284 349826568