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801344 = 2619659
BaseRepresentation
bin11000011101001000000
31111201020102
43003221000
5201120334
625101532
76545165
oct3035100
91451212
10801344
114a8075
123278a8
1322098b
1416c06c
1510c67e
hexc3a40

801344 has 28 divisors (see below), whose sum is σ = 1676400. Its totient is φ = 379008.

The previous prime is 801341. The next prime is 801349. The reversal of 801344 is 443108.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 801344.

It is not an unprimeable number, because it can be changed into a prime (801341) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 887 + ... + 1545.

2801344 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 801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838200).

801344 is an abundant number, since it is smaller than the sum of its proper divisors (875056).

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

801344 is a wasteful number, since it uses less digits than its factorization.

801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 801344 is about 895.1781945512. The cubic root of 801344 is about 92.8837333823.

The spelling of 801344 in words is "eight hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 659 1216 1318 2636 5272 10544 12521 21088 25042 42176 50084 100168 200336 400672 801344