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900328 = 231113787
BaseRepresentation
bin11011011110011101000
31200202000111
43123303220
5212302303
631144104
710436602
oct3336350
91622014
10900328
11565480
12375034
13256a50
14196172
1512bb6d
hexdbce8

900328 has 32 divisors (see below), whose sum is σ = 1985760. Its totient is φ = 377280.

The previous prime is 900307. The next prime is 900329. The reversal of 900328 is 823009.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 900299 and 900308.

It is not an unprimeable number, because it can be changed into a prime (900329) by changing a digit.

900328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 751 + ... + 1537.

It is an arithmetic number, because the mean of its divisors is an integer number (62055).

2900328 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 900328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992880).

900328 is an abundant number, since it is smaller than the sum of its proper divisors (1085432).

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

900328 is a wasteful number, since it uses less digits than its factorization.

900328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 900328 is about 948.8561534817. The cubic root of 900328 is about 96.5606659441.

The spelling of 900328 in words is "nine hundred thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 787 1144 1574 3148 6296 8657 10231 17314 20462 34628 40924 69256 81848 112541 225082 450164 900328