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4122384 = 243712269
BaseRepresentation
bin1111101110011100010000
321202102211220
433232130100
52023404014
6224205040
750016420
oct17563420
97672756
104122384
112366232
121469780
13b144a6
14794480
155666a9
hex3ee710

4122384 has 40 divisors (see below), whose sum is σ = 12171840. Its totient is φ = 1177728.

The previous prime is 4122343. The next prime is 4122401. The reversal of 4122384 is 4832214.

4122384 is digitally balanced in base 8, 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 (24).

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

4122384 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5799 + ... + 6470.

It is an arithmetic number, because the mean of its divisors is an integer number (304296).

Almost surely, 24122384 is an apocalyptic number.

It is an amenable number.

4122384 is an abundant number, since it is smaller than the sum of its proper divisors (8049456).

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

4122384 is a wasteful number, since it uses less digits than its factorization.

4122384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12287 (or 12281 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4122384 is about 2030.3654843402. The cubic root of 4122384 is about 160.3428066646.

Adding to 4122384 its reverse (4832214), we get a palindrome (8954598).

The spelling of 4122384 in words is "four million, one hundred twenty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 12269 24538 36807 49076 73614 85883 98152 147228 171766 196304 257649 294456 343532 515298 588912 687064 1030596 1374128 2061192 4122384