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1444000 = 2553192
BaseRepresentation
bin101100000100010100000
32201100210111
411200202200
5332202000
650541104
715162625
oct5404240
92640714
101444000
118a6998
12597794
133b734c
1429834c
151d7cba
hex1608a0

1444000 has 72 divisors (see below), whose sum is σ = 3744468. Its totient is φ = 547200.

The previous prime is 1443989. The next prime is 1444007. The reversal of 1444000 is 4441.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 976144 + 467856 = 988^2 + 684^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1444007) 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, 75991 + ... + 76009.

21444000 is an apocalyptic number.

1444000 is a gapful number since it is divisible by the number (10) 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 1444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872234).

1444000 is an abundant number, since it is smaller than the sum of its proper divisors (2300468).

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

1444000 is an equidigital number, since it uses as much as digits as its factorization.

1444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 1444000 is about 1201.6655108640. The cubic root of 1444000 is about 113.0287863592.

Adding to 1444000 its reverse (4441), we get a palindrome (1448441).

The spelling of 1444000 in words is "one million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 361 380 400 475 500 608 722 760 800 950 1000 1444 1520 1805 1900 2000 2375 2888 3040 3610 3800 4000 4750 5776 7220 7600 9025 9500 11552 14440 15200 18050 19000 28880 36100 38000 45125 57760 72200 76000 90250 144400 180500 288800 361000 722000 1444000