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350116040 = 235193371367
BaseRepresentation
bin10100110111100…
…101100011001000
3220101210201220202
4110313211203020
51204112203130
654424111332
711450636321
oct2467454310
9811721822
10350116040
1116a6a43aa
1299305548
13576c6c71
14346db448
1520b0d145
hex14de58c8

350116040 has 64 divisors (see below), whose sum is σ = 832291200. Its totient is φ = 132185088.

The previous prime is 350116009. The next prime is 350116049. The reversal of 350116040 is 40611053.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (350116049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255437 + ... + 256803.

It is an arithmetic number, because the mean of its divisors is an integer number (13004550).

Almost surely, 2350116040 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 350116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416145600).

350116040 is an abundant number, since it is smaller than the sum of its proper divisors (482175160).

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

350116040 is a wasteful number, since it uses less digits than its factorization.

350116040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 350116040 is about 18711.3879763100. The cubic root of 350116040 is about 704.8077473195.

Adding to 350116040 its reverse (40611053), we get a palindrome (390727093).

The spelling of 350116040 in words is "three hundred fifty million, one hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 337 380 674 760 1348 1367 1685 2696 2734 3370 5468 6403 6740 6835 10936 12806 13480 13670 25612 25973 27340 32015 51224 51946 54680 64030 103892 128060 129865 207784 256120 259730 460679 519460 921358 1038920 1842716 2303395 3685432 4606790 8752901 9213580 17505802 18427160 35011604 43764505 70023208 87529010 175058020 350116040