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820341344 = 2531826957
BaseRepresentation
bin110000111001010…
…110101001100000
32010011121122202202
4300321112221200
53140001410334
6213222432332
726220533504
oct6071265140
92104548682
10820341344
11391074659
121aa8926a8
13100c557a4
147ad42304
154c04417e
hex30e56a60

820341344 has 24 divisors (see below), whose sum is σ = 1667147328. Its totient is φ = 396938880.

The previous prime is 820341343. The next prime is 820341349. The reversal of 820341344 is 443143028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820341343) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 412487 + ... + 414470.

It is an arithmetic number, because the mean of its divisors is an integer number (69464472).

Almost surely, 2820341344 is an apocalyptic number.

It is an amenable number.

820341344 is an abundant number, since it is smaller than the sum of its proper divisors (846805984).

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

820341344 is a wasteful number, since it uses less digits than its factorization.

820341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826998 (or 826990 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 820341344 is about 28641.6016311937. The cubic root of 820341344 is about 936.1200201612.

The spelling of 820341344 in words is "eight hundred twenty million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 826957 1653914 3307828 6615656 13231312 25635667 26462624 51271334 102542668 205085336 410170672 820341344