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1444128 = 25372307
BaseRepresentation
bin101100000100100100000
32201100222020
411200210200
5332203003
650541440
715163200
oct5404440
92640866
101444128
118a6aa4
12597880
133b741a
14298400
151d7d53
hex160920

1444128 has 72 divisors (see below), whose sum is σ = 4424112. Its totient is φ = 411264.

The previous prime is 1444111. The next prime is 1444181. The reversal of 1444128 is 8214441.

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 junction number, because it is equal to n+sod(n) for n = 1444098 and 1444107.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4551 + ... + 4857.

It is an arithmetic number, because the mean of its divisors is an integer number (61446).

21444128 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 1444128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212056).

1444128 is an abundant number, since it is smaller than the sum of its proper divisors (2979984).

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

1444128 is a wasteful number, since it uses less digits than its factorization.

1444128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 1444128 is about 1201.7187690970. The cubic root of 1444128 is about 113.0321259846.

Adding to 1444128 its reverse (8214441), we get a palindrome (9658569).

The spelling of 1444128 in words is "one million, four hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 307 336 392 588 614 672 784 921 1176 1228 1568 1842 2149 2352 2456 3684 4298 4704 4912 6447 7368 8596 9824 12894 14736 15043 17192 25788 29472 30086 34384 45129 51576 60172 68768 90258 103152 120344 180516 206304 240688 361032 481376 722064 1444128