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350041050 = 232521745757
BaseRepresentation
bin10100110111010…
…011001111011010
3220101122221001100
4110313103033122
51204102303200
654422332230
711450204562
oct2467231732
9811587040
10350041050
1116a653027
129928a076
135769baa8
14346bbda2
1520ae5d00
hex14dd33da

350041050 has 72 divisors (see below), whose sum is σ = 995785596. Its totient is φ = 87851520.

The previous prime is 350041019. The next prime is 350041061. The reversal of 350041050 is 50140053.

350041050 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 6 ways, for example, as 118788201 + 231252849 = 10899^2 + 15207^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15229 + ... + 30528.

Almost surely, 2350041050 is an apocalyptic number.

350041050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

350041050 is an abundant number, since it is smaller than the sum of its proper divisors (645744546).

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

350041050 is a wasteful number, since it uses less digits than its factorization.

350041050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45792 (or 45784 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 350041050 is about 18709.3840091009. The cubic root of 350041050 is about 704.7574237116.

The spelling of 350041050 in words is "three hundred fifty million, forty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650 45757 91514 137271 228785 274542 411813 457570 686355 777869 823626 1143925 1372710 1555738 2059065 2287850 2333607 3431775 3889345 4118130 4667214 6863550 7000821 7778690 10295325 11668035 14001642 19446725 20590650 23336070 35004105 38893450 58340175 70008210 116680350 175020525 350041050