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1444464 = 243271433
BaseRepresentation
bin101100000101001110000
32201101102200
411200221300
5332210324
650543200
715164160
oct5405160
92641380
101444464
118a727a
12597b00
133b7618
142985a0
151d7ec9
hex160a70

1444464 has 60 divisors (see below), whose sum is σ = 4623216. Its totient is φ = 412416.

The previous prime is 1444463. The next prime is 1444477. The reversal of 1444464 is 4644441.

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 (1444463) 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, 292 + ... + 1724.

21444464 is an apocalyptic number.

1444464 is a gapful number since it is divisible by the number (14) 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 1444464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311608).

1444464 is an abundant number, since it is smaller than the sum of its proper divisors (3178752).

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

1444464 is a wasteful number, since it uses less digits than its factorization.

1444464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1445 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 1444464 is about 1201.8585607300. The cubic root of 1444464 is about 113.0408915625.

The spelling of 1444464 in words is "one million, four hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1433 2866 4299 5732 8598 10031 11464 12897 17196 20062 22928 25794 30093 34392 40124 51588 60186 68784 80248 90279 103176 120372 160496 180558 206352 240744 361116 481488 722232 1444464