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6390384 = 24372111319
BaseRepresentation
bin11000011000001001110000
3110000122221220
4120120021300
53113443014
6344545040
7105213600
oct30301160
913018856
106390384
113675210
122182180
1314298c0
14bc4c00
158636a9
hex618270

6390384 has 240 divisors, whose sum is σ = 23748480. Its totient is φ = 1451520.

The previous prime is 6390379. The next prime is 6390401. The reversal of 6390384 is 4830936.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336327 + ... + 336345.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

Almost surely, 26390384 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 6390384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

6390384 is an abundant number, since it is smaller than the sum of its proper divisors (17358096).

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

6390384 is a wasteful number, since it uses less digits than its factorization.

6390384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 6390384 is about 2527.9208848380. The cubic root of 6390384 is about 185.5705202386.

The spelling of 6390384 in words is "six million, three hundred ninety thousand, three hundred eighty-four".