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3438384 = 24371633
BaseRepresentation
bin1101000111011100110000
320110200120120
431013130300
51340012014
6201410240
741140305
oct15073460
96420516
103438384
111a39344
121199980
13935061
146570ac
1547dba9
hex347730

3438384 has 20 divisors (see below), whose sum is σ = 8882616. Its totient is φ = 1146112.

The previous prime is 3438377. The next prime is 3438389. The reversal of 3438384 is 4838343.

3438384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3438389) 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 3 ways as a sum of consecutive naturals, for example, 35769 + ... + 35864.

Almost surely, 23438384 is an apocalyptic number.

It is an amenable number.

3438384 is an abundant number, since it is smaller than the sum of its proper divisors (5444232).

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

3438384 is a wasteful number, since it uses less digits than its factorization.

3438384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71644 (or 71638 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 3438384 is about 1854.2880035205. The cubic root of 3438384 is about 150.9332043795.

The spelling of 3438384 in words is "three million, four hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71633 143266 214899 286532 429798 573064 859596 1146128 1719192 3438384