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4384944 = 243237823
BaseRepresentation
bin10000101110100010110000
322020210000100
4100232202300
52110304234
6233552400
752162044
oct20564260
98223010
104384944
112525523
121575700
13ba6b55
14822024
155b9399
hex42e8b0

4384944 has 60 divisors (see below), whose sum is σ = 12618736. Its totient is φ = 1420416.

The previous prime is 4384943. The next prime is 4384951. The reversal of 4384944 is 4494834.

4384944 is digitally balanced in base 5, 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 (36).

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

It is a d-powerful number, because it can be written as 4 + 3 + 83 + 48 + 95 + 48 + 411 .

It is a junction number, because it is equal to n+sod(n) for n = 4384899 and 4384908.

It is not an unprimeable number, because it can be changed into a prime (4384943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4917 + ... + 5739.

Almost surely, 24384944 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 4384944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309368).

4384944 is an abundant number, since it is smaller than the sum of its proper divisors (8233792).

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

4384944 is a wasteful number, since it uses less digits than its factorization.

4384944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 865 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4384944 is about 2094.0257878068. The cubic root of 4384944 is about 163.6771359681.

The spelling of 4384944 in words is "four million, three hundred eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 823 888 1332 1646 1776 2469 2664 3292 4938 5328 6584 7407 9876 13168 14814 19752 29628 30451 39504 59256 60902 91353 118512 121804 182706 243608 274059 365412 487216 548118 730824 1096236 1461648 2192472 4384944