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830823744 = 26315128657
BaseRepresentation
bin110001100001010…
…101110101000000
32010220100012220210
4301201111311000
53200142324434
6214235234120
726405612442
oct6141256500
92126305823
10830823744
11396a841a3
121b22a8940
13103185aaa
147c4b0492
154ce14ee9
hex31855d40

830823744 has 56 divisors (see below), whose sum is σ = 2212856128. Its totient is φ = 275097600.

The previous prime is 830823727. The next prime is 830823751. The reversal of 830823744 is 447328038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14664 + ... + 43320.

It is an arithmetic number, because the mean of its divisors is an integer number (39515288).

Almost surely, 2830823744 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 830823744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106428064).

830823744 is an abundant number, since it is smaller than the sum of its proper divisors (1382032384).

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

830823744 is a wasteful number, since it uses less digits than its factorization.

830823744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28823 (or 28813 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 830823744 is about 28824.0133222284. The cubic root of 830823744 is about 940.0904334302.

The spelling of 830823744 in words is "eight hundred thirty million, eight hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 604 906 1208 1812 2416 3624 4832 7248 9664 14496 28657 28992 57314 85971 114628 171942 229256 343884 458512 687768 917024 1375536 1834048 2751072 4327207 5502144 8654414 12981621 17308828 25963242 34617656 51926484 69235312 103852968 138470624 207705936 276941248 415411872 830823744