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350404068 = 223717594159
BaseRepresentation
bin10100111000101…
…011110111100100
3220102100101000110
4110320223313210
51204200412233
654434213020
711453246130
oct2470536744
9812311013
10350404068
1116a880843
1299424170
13577980b1
14347743c0
1520b68663
hex14e2bde4

350404068 has 96 divisors (see below), whose sum is σ = 1006387200. Its totient is φ = 92606976.

The previous prime is 350404007. The next prime is 350404079. The reversal of 350404068 is 860404053.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82173 + ... + 86331.

It is an arithmetic number, because the mean of its divisors is an integer number (10483200).

Almost surely, 2350404068 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 350404068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503193600).

350404068 is an abundant number, since it is smaller than the sum of its proper divisors (655983132).

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

350404068 is a wasteful number, since it uses less digits than its factorization.

350404068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 350404068 is about 18719.0829903604. The cubic root of 350404068 is about 705.0009677568. Note that the first 3 decimals are identical.

The spelling of 350404068 in words is "three hundred fifty million, four hundred four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 59 68 84 102 118 119 177 204 236 238 354 357 413 476 708 714 826 1003 1239 1428 1652 2006 2478 3009 4012 4159 4956 6018 7021 8318 12036 12477 14042 16636 21063 24954 28084 29113 42126 49908 58226 70703 84252 87339 116452 141406 174678 212109 245381 282812 349356 424218 490762 494921 736143 848436 981524 989842 1472286 1484763 1717667 1979684 2944572 2969526 3435334 4171477 5153001 5939052 6870668 8342954 10306002 12514431 16685908 20612004 25028862 29200339 50057724 58400678 87601017 116801356 175202034 350404068