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8245384 = 2371131303
BaseRepresentation
bin11111011101000010001000
3120111220112121
4133131002020
54102323014
6452421024
7130041010
oct37350210
916456477
108245384
114721974
122917774
131929034
141148c40
15acd124
hex7dd088

8245384 has 32 divisors (see below), whose sum is σ = 17838720. Its totient is φ = 3499776.

The previous prime is 8245343. The next prime is 8245409. The reversal of 8245384 is 4835428.

8245384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 8 + 221 + 44 + 59 + 33 + 83 + 411 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5677 + ... + 6979.

It is an arithmetic number, because the mean of its divisors is an integer number (557460).

Almost surely, 28245384 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 8245384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8919360).

8245384 is an abundant number, since it is smaller than the sum of its proper divisors (9593336).

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

8245384 is a wasteful number, since it uses less digits than its factorization.

8245384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1425 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The square root of 8245384 is about 2871.4776683791. The cubic root of 8245384 is about 202.0243084167.

The spelling of 8245384 in words is "eight million, two hundred forty-five thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 791 904 1303 1582 2606 3164 5212 6328 9121 10424 18242 36484 72968 147239 294478 588956 1030673 1177912 2061346 4122692 8245384