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350660000 = 255489197
BaseRepresentation
bin10100111001101…
…010010110100000
3220102211101002102
4110321222112200
51204232110000
654443505532
711455363235
oct2471522640
9812741072
10350660000
1116aa36059
12995282a8
1357857732
14347dd78c
1520bb93d5
hex14e6a5a0

350660000 has 120 divisors (see below), whose sum is σ = 876797460. Its totient is φ = 137984000.

The previous prime is 350659999. The next prime is 350660017. The reversal of 350660000 is 66053.

350660000 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 10 ways, for example, as 5740816 + 344919184 = 2396^2 + 18572^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1779902 + ... + 1780098.

Almost surely, 2350660000 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 350660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438398730).

350660000 is an abundant number, since it is smaller than the sum of its proper divisors (526137460).

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

350660000 is an equidigital number, since it uses as much as digits as its factorization.

350660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 350660000 is about 18725.9178680245. The cubic root of 350660000 is about 705.1725681208.

The spelling of 350660000 in words is "three hundred fifty million, six hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 197 200 250 356 394 400 445 500 625 712 788 800 890 985 1000 1250 1424 1576 1780 1970 2000 2225 2500 2848 3152 3560 3940 4000 4450 4925 5000 6304 7120 7880 8900 9850 10000 11125 14240 15760 17533 17800 19700 20000 22250 24625 31520 35066 35600 39400 44500 49250 55625 70132 71200 78800 87665 89000 98500 111250 123125 140264 157600 175330 178000 197000 222500 246250 280528 350660 356000 394000 438325 445000 492500 561056 701320 788000 876650 890000 985000 1402640 1753300 1780000 1970000 2191625 2805280 3506600 3940000 4383250 7013200 8766500 10958125 14026400 17533000 21916250 35066000 43832500 70132000 87665000 175330000 350660000