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8834328 = 2332294231
BaseRepresentation
bin100001101100…
…110100011000
3121121211102100
4201230310120
54230144303
6513203400
7135043026
oct41546430
917554370
108834328
114a943a8
122b60560
131aa4119
14125d716
15b978a3
hex86cd18

8834328 has 48 divisors (see below), whose sum is σ = 24757200. Its totient is φ = 2842560.

The previous prime is 8834321. The next prime is 8834363. The reversal of 8834328 is 8234388.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8834292 and 8834301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8834321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28 + ... + 4203.

It is an arithmetic number, because the mean of its divisors is an integer number (515775).

Almost surely, 28834328 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 8834328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12378600).

8834328 is an abundant number, since it is smaller than the sum of its proper divisors (15922872).

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

8834328 is a wasteful number, since it uses less digits than its factorization.

8834328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4265 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 8834328 is about 2972.2597463883. The cubic root of 8834328 is about 206.7241301649.

The spelling of 8834328 in words is "eight million, eight hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 4231 8462 12693 16924 25386 33848 38079 50772 76158 101544 122699 152316 245398 304632 368097 490796 736194 981592 1104291 1472388 2208582 2944776 4417164 8834328