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350326089 = 321723672
BaseRepresentation
bin10100111000011…
…000110101001001
3220102012102001100
4110320120311021
51204140413324
654432412013
711452502601
oct2470306511
9812172040
10350326089
1116a8281a3
12993a7009
135776b759
1434753c01
1520b504c9
hex14e18d49

350326089 has 27 divisors (see below), whose sum is σ = 539012487. Its totient is φ = 219213504.

The previous prime is 350326079. The next prime is 350326139. The reversal of 350326089 is 980623053.

The square root of 350326089 is 18717.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 272745225 + 77580864 = 16515^2 + 8808^2 .

It is not a de Polignac number, because 350326089 - 25 = 350326057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (350326019) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 954384 + ... + 954750.

Almost surely, 2350326089 is an apocalyptic number.

350326089 is the 18717-th square number.

350326089 is the 9359-th centered octagonal number.

It is an amenable number.

350326089 is a deficient number, since it is larger than the sum of its proper divisors (188686398).

350326089 is an equidigital number, since it uses as much as digits as its factorization.

350326089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 350326089 is about 704.9486668524.

Multiplying 350326089 by its sum of digits (36), we get a square (12611739204 = 1123022).

It can be divided in two parts, 3503 and 26089, that added together give a palindrome (29592).

The spelling of 350326089 in words is "three hundred fifty million, three hundred twenty-six thousand, eighty-nine".

Divisors: 1 3 9 17 51 153 289 367 867 1101 2601 3303 6239 18717 56151 106063 134689 318189 404067 954567 1212201 2289713 6869139 20607417 38925121 116775363 350326089