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1468944 = 24321012
BaseRepresentation
bin101100110101000010000
32202122000100
411212220100
5334001234
651252400
715325431
oct5465020
92678010
101468944
11913704
125aa100
133c57c9
142a3488
151e0399
hex166a10

1468944 has 45 divisors (see below), whose sum is σ = 4152109. Its totient is φ = 484800.

The previous prime is 1468939. The next prime is 1468949. The reversal of 1468944 is 4498641.

It is a happy number.

The square root of 1468944 is 1212.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1468939) and next prime (1468949).

It can be written as a sum of positive squares in only one way, i.e., 1411344 + 57600 = 1188^2 + 240^2 .

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 Duffinian number.

Its product of digits (27648) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 1468899 and 1468908.

It is not an unprimeable number, because it can be changed into a prime (1468949) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14494 + ... + 14594.

21468944 is an apocalyptic number.

1468944 is the 1212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468944

1468944 is an abundant number, since it is smaller than the sum of its proper divisors (2683165).

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

1468944 is a wasteful number, since it uses less digits than its factorization.

1468944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 106 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The cubic root of 1468944 is about 113.6759031183.

Multiplying 1468944 by its sum of digits (36), we get a square (52881984 = 72722).

1468944 divided by its sum of digits (36) gives a palindrome (40804).

Multiplying 1468944 by its reverse (4498641), we get a square (6608251705104 = 25706522).

The spelling of 1468944 in words is "one million, four hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 10201 14544 20402 30603 40804 61206 81608 91809 122412 163216 183618 244824 367236 489648 734472 1468944