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920328 = 233311237
BaseRepresentation
bin11100000101100001000
31201202110020
43200230020
5213422303
631420440
710552113
oct3405410
91652406
10920328
11579502
12384720
13262b96
1419d57a
15132a53
hexe0b08

920328 has 32 divisors (see below), whose sum is σ = 2376960. Its totient is φ = 296640.

The previous prime is 920323. The next prime is 920333. The reversal of 920328 is 823029.

It is an interprime number because it is at equal distance from previous prime (920323) and next prime (920333).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 920298 and 920307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 920328.

It is not an unprimeable number, because it can be changed into a prime (920323) by changing a digit.

920328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 1362.

It is an arithmetic number, because the mean of its divisors is an integer number (74280).

2920328 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 920328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188480).

920328 is an abundant number, since it is smaller than the sum of its proper divisors (1456632).

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

920328 is a wasteful number, since it uses less digits than its factorization.

920328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 920328 is about 959.3372712451. The cubic root of 920328 is about 97.2704395506.

The spelling of 920328 in words is "nine hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1237 2474 3711 4948 7422 9896 14844 29688 38347 76694 115041 153388 230082 306776 460164 920328