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350326080 = 26335133119
BaseRepresentation
bin10100111000011…
…000110101000000
3220102012102001000
4110320120311000
51204140413310
654432412000
711452502556
oct2470306500
9812172030
10350326080
1116a828195
12993a7000
135776b750
1434753bd6
1520b504c0
hex14e18d40

350326080 has 224 divisors, whose sum is σ = 1331366400. Its totient is φ = 86206464.

The previous prime is 350326079. The next prime is 350326139. The reversal of 350326080 is 80623053.

350326080 is a `hidden beast` number, since 3 + 50 + 3 + 2 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110761 + ... + 113879.

It is an arithmetic number, because the mean of its divisors is an integer number (5943600).

Almost surely, 2350326080 is an apocalyptic number.

350326080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665683200).

350326080 is an abundant number, since it is smaller than the sum of its proper divisors (981040320).

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

350326080 is a wasteful number, since it uses less digits than its factorization.

350326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 350326080 is about 18716.9997595769. Note that the first 3 decimals coincide. The cubic root of 350326080 is about 704.9486608156.

The spelling of 350326080 in words is "three hundred fifty million, three hundred twenty-six thousand, eighty".