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4434144 = 25311131719
BaseRepresentation
bin10000111010100011100000
322100021111120
4100322203200
52113343034
6235012240
752455351
oct20724340
98307446
104434144
112559490
12159a080
13bc3370
14835d28
155c8c49
hex43a8e0

4434144 has 192 divisors, whose sum is σ = 15240960. Its totient is φ = 1105920.

The previous prime is 4434119. The next prime is 4434149. The reversal of 4434144 is 4414344.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233367 + ... + 233385.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

Almost surely, 24434144 is an apocalyptic number.

4434144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

4434144 is an abundant number, since it is smaller than the sum of its proper divisors (10806816).

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

4434144 is a wasteful number, since it uses less digits than its factorization.

4434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 4434144 is about 2105.7407247807. The cubic root of 4434144 is about 164.2870246362.

Adding to 4434144 its reverse (4414344), we get a palindrome (8848488).

The spelling of 4434144 in words is "four million, four hundred thirty-four thousand, one hundred forty-four".