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930328 = 23737449
BaseRepresentation
bin11100011001000011000
31202021011121
43203020120
5214232303
631535024
710623220
oct3431030
91667147
10930328
11585a73
1238a474
132675b9
141a3080
151359bd
hexe3218

930328 has 32 divisors (see below), whose sum is σ = 2052000. Its totient is φ = 387072.

The previous prime is 930323. The next prime is 930337. The reversal of 930328 is 823039.

It is a happy number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930323) by changing a digit.

930328 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, 1848 + ... + 2296.

It is an arithmetic number, because the mean of its divisors is an integer number (64125).

2930328 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 930328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026000).

930328 is an abundant number, since it is smaller than the sum of its proper divisors (1121672).

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

930328 is a wasteful number, since it uses less digits than its factorization.

930328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 930328 is about 964.5351211853. The cubic root of 930328 is about 97.6214747156.

The spelling of 930328 in words is "nine hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 449 518 898 1036 1796 2072 3143 3592 6286 12572 16613 25144 33226 66452 116291 132904 232582 465164 930328