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1330448 = 24721697
BaseRepresentation
bin101000100110100010000
32111121000212
411010310100
5320033243
644303252
714210600
oct5046420
92447025
101330448
11829649
12541b28
13377762
14268c00
151b4318
hex144d10

1330448 has 30 divisors (see below), whose sum is σ = 3000366. Its totient is φ = 569856.

The previous prime is 1330423. The next prime is 1330453. The reversal of 1330448 is 8440331.

It can be written as a sum of positive squares in only one way, i.e., 1317904 + 12544 = 1148^2 + 112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65 + ... + 1632.

21330448 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 1330448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500183).

1330448 is an abundant number, since it is smaller than the sum of its proper divisors (1669918).

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

1330448 is a wasteful number, since it uses less digits than its factorization.

With its successor (1330449) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1719).

1330448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1330448 is about 1153.4504757466. The cubic root of 1330448 is about 109.9847912858.

Adding to 1330448 its reverse (8440331), we get a palindrome (9770779).

The spelling of 1330448 in words is "one million, three hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1697 3394 6788 11879 13576 23758 27152 47516 83153 95032 166306 190064 332612 665224 1330448