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900330 = 23530011
BaseRepresentation
bin11011011110011101010
31200202000120
43123303222
5212302310
631144110
710436604
oct3336352
91622016
10900330
11565482
12375036
13256a52
14196174
1512bb70
hexdbcea

900330 has 16 divisors (see below), whose sum is σ = 2160864. Its totient is φ = 240080.

The previous prime is 900329. The next prime is 900331. The reversal of 900330 is 33009.

900330 = T290 + T291 + ... + T309.

It is an interprime number because it is at equal distance from previous prime (900329) and next prime (900331).

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (15).

900330 is a modest number, since divided by 330 gives 90 as remainder.

It is not an unprimeable number, because it can be changed into a prime (900331) 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 7 ways as a sum of consecutive naturals, for example, 14976 + ... + 15035.

It is an arithmetic number, because the mean of its divisors is an integer number (135054).

2900330 is an apocalyptic number.

900330 is an abundant number, since it is smaller than the sum of its proper divisors (1260534).

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

900330 is a wasteful number, since it uses less digits than its factorization.

900330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30021.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 900330 is about 948.8572073816. The cubic root of 900330 is about 96.5607374444.

Adding to 900330 its reverse (33009), we get a palindrome (933339).

The spelling of 900330 in words is "nine hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 30011 60022 90033 150055 180066 300110 450165 900330