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350043320 = 235112312333
BaseRepresentation
bin10100110111010…
…011110010111000
3220101200001011102
4110313103302320
51204102341240
654422350532
711450214314
oct2467236270
9811601142
10350043320
1116a654800
129928b448
135769cb33
14346bcb44
1520ae6815
hex14dd3cb8

350043320 has 96 divisors (see below), whose sum is σ = 894015360. Its totient is φ = 123129600.

The previous prime is 350043313. The next prime is 350043329. The reversal of 350043320 is 23340053.

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

It is a junction number, because it is equal to n+sod(n) for n = 350043292 and 350043301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350043329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148874 + ... + 151206.

It is an arithmetic number, because the mean of its divisors is an integer number (9312660).

Almost surely, 2350043320 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 350043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447007680).

350043320 is an abundant number, since it is smaller than the sum of its proper divisors (543972040).

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

350043320 is a wasteful number, since it uses less digits than its factorization.

350043320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 350043320 is about 18709.4446737470. Note that the first 3 decimals coincide. The cubic root of 350043320 is about 704.7589471481.

Adding to 350043320 its reverse (23340053), we get a palindrome (373383373).

The spelling of 350043320 in words is "three hundred fifty million, forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1364 1705 2333 2420 2728 3410 3751 4666 4840 6820 7502 9332 11665 13640 15004 18664 18755 23330 25663 30008 37510 46660 51326 72323 75020 93320 102652 128315 144646 150040 205304 256630 282293 289292 361615 513260 564586 578584 723230 795553 1026520 1129172 1411465 1446460 1591106 2258344 2822930 2892920 3182212 3977765 5645860 6364424 7955530 8751083 11291720 15911060 17502166 31822120 35004332 43755415 70008664 87510830 175021660 350043320