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4076384 = 251341239
BaseRepresentation
bin1111100011001101100000
321200002202012
433203031200
52020421014
6223212052
746435334
oct17431540
97602665
104076384
112334714
121447028
13ac9580
147817c4
15557c3e
hex3e3360

4076384 has 48 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 1827840.

The previous prime is 4076383. The next prime is 4076411. The reversal of 4076384 is 4836704.

It is a happy number.

4076384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4076384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4076381) 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 7 ways as a sum of consecutive naturals, for example, 16937 + ... + 17175.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

Almost surely, 24076384 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 4076384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

4076384 is an abundant number, since it is smaller than the sum of its proper divisors (4814176).

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

4076384 is a wasteful number, since it uses less digits than its factorization.

4076384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 4076384 is about 2019.0056958810. The cubic root of 4076384 is about 159.7441745096.

The spelling of 4076384 in words is "four million, seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 239 328 416 478 533 656 956 1066 1312 1912 2132 3107 3824 4264 6214 7648 8528 9799 12428 17056 19598 24856 39196 49712 78392 99424 127387 156784 254774 313568 509548 1019096 2038192 4076384