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8073384 = 2331153577
BaseRepresentation
bin11110110011000010101000
3120012011121020
4132303002220
54031322014
6445012440
7125423364
oct36630250
916164536
108073384
114614720
122854120
131898967
1411022a4
15a971a9
hex7b30a8

8073384 has 64 divisors (see below), whose sum is σ = 22472640. Its totient is φ = 2396160.

The previous prime is 8073371. The next prime is 8073389. The reversal of 8073384 is 4833708.

8073384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×80733842 = 130359058422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8073389) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13704 + ... + 14280.

It is an arithmetic number, because the mean of its divisors is an integer number (351135).

Almost surely, 28073384 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 8073384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11236320).

8073384 is an abundant number, since it is smaller than the sum of its proper divisors (14399256).

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

8073384 is a wasteful number, since it uses less digits than its factorization.

8073384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 8073384 is about 2841.3700920507. The cubic root of 8073384 is about 200.6096729394.

The spelling of 8073384 in words is "eight million, seventy-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 577 583 636 1154 1166 1272 1731 1749 2308 2332 3462 3498 4616 4664 6347 6924 6996 12694 13848 13992 19041 25388 30581 38082 50776 61162 76164 91743 122324 152328 183486 244648 336391 366972 672782 733944 1009173 1345564 2018346 2691128 4036692 8073384