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1343077824 = 263112343643
BaseRepresentation
bin101000000001101…
…1011110111000000
310110121020102102010
41100003123313000
510222311442244
6341134452520
745165654534
oct12003336700
93417212363
101343077824
1162a150280
12315964140
1318533b70a
14ca535bc4
157cd9deb9
hex500dbdc0

1343077824 has 224 divisors, whose sum is σ = 4145670144. Its totient is φ = 379653120.

The previous prime is 1343077807. The next prime is 1343077831. The reversal of 1343077824 is 4287703431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2088447 + ... + 2089089.

It is an arithmetic number, because the mean of its divisors is an integer number (18507456).

Almost surely, 21343077824 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 1343077824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072835072).

1343077824 is an abundant number, since it is smaller than the sum of its proper divisors (2802592320).

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

1343077824 is a wasteful number, since it uses less digits than its factorization.

1343077824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 1343077824 is about 36648.0261951445. The cubic root of 1343077824 is about 1103.3172106535.

The spelling of 1343077824 in words is "one billion, three hundred forty-three million, seventy-seven thousand, eight hundred twenty-four".