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8348328 = 2332472467
BaseRepresentation
bin11111110110001010101000
3120201010202100
4133312022220
54114121303
6454533400
7130650102
oct37661250
916633670
108348328
11479224a
122967260
131963b51
141174572
15aed8a3
hex7f62a8

8348328 has 48 divisors (see below), whose sum is σ = 23100480. Its totient is φ = 2722464.

The previous prime is 8348303. The next prime is 8348339. The reversal of 8348328 is 8238438.

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 = 8348292 and 8348301.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2151 + ... + 4617.

It is an arithmetic number, because the mean of its divisors is an integer number (481260).

Almost surely, 28348328 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 8348328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11550240).

8348328 is an abundant number, since it is smaller than the sum of its proper divisors (14752152).

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

8348328 is a wasteful number, since it uses less digits than its factorization.

8348328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2519 counting only the distinct ones).

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

The square root of 8348328 is about 2889.3473311459. The cubic root of 8348328 is about 202.8615944461.

The spelling of 8348328 in words is "eight million, three hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 2467 3384 4934 7401 9868 14802 19736 22203 29604 44406 59208 88812 115949 177624 231898 347847 463796 695694 927592 1043541 1391388 2087082 2782776 4174164 8348328