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350005960 = 23519744417
BaseRepresentation
bin10100110111001…
…010101011001000
3220101121010220201
4110313022223020
51204100142320
654421501544
711450000353
oct2467125310
9811533821
10350005960
1116a629727
12992718b4
1357688b25
14346ad29a
1520ada70a
hex14dcaac8

350005960 has 32 divisors (see below), whose sum is σ = 791528760. Its totient is φ = 139288576.

The previous prime is 350005907. The next prime is 350005961. The reversal of 350005960 is 69500053.

It is a happy number.

350005960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 283518244 + 66487716 = 16838^2 + 8154^2 .

It is not an unprimeable number, because it can be changed into a prime (350005961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14329 + ... + 30088.

Almost surely, 2350005960 is an apocalyptic number.

It is an amenable number.

350005960 is an abundant number, since it is smaller than the sum of its proper divisors (441522800).

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

350005960 is a wasteful number, since it uses less digits than its factorization.

350005960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44625 (or 44621 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 350005960 is about 18708.4462208918. The cubic root of 350005960 is about 704.7338733648.

The spelling of 350005960 in words is "three hundred fifty million, five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1970 3940 7880 44417 88834 177668 222085 355336 444170 888340 1776680 8750149 17500298 35000596 43750745 70001192 87501490 175002980 350005960