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800934024 = 233114616581
BaseRepresentation
bin101111101111010…
…100100010001000
32001211002122221010
4233233110202020
53120014342044
6211250443520
725563553422
oct5757244210
92054078833
10800934024
11381119650
121a42935a0
13c9c1c077
147852d812
154a4adbb9
hex2fbd4888

800934024 has 64 divisors (see below), whose sum is σ = 2189436480. Its totient is φ = 242144000.

The previous prime is 800934023. The next prime is 800934041. The reversal of 800934024 is 420439008.

It is a happy number.

800934024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 800933982 and 800934000.

It is not an unprimeable number, because it can be changed into a prime (800934023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118414 + ... + 124994.

It is an arithmetic number, because the mean of its divisors is an integer number (34209945).

Almost surely, 2800934024 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 800934024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094718240).

800934024 is an abundant number, since it is smaller than the sum of its proper divisors (1388502456).

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

800934024 is a wasteful number, since it uses less digits than its factorization.

800934024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7062 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 800934024 is about 28300.7777984988. Note that the first 4 decimals coincide. The cubic root of 800934024 is about 928.6789058261.

The spelling of 800934024 in words is "eight hundred million, nine hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 461 922 1383 1844 2766 3688 5071 5532 6581 10142 11064 13162 15213 19743 20284 26324 30426 39486 40568 52648 60852 72391 78972 121704 144782 157944 217173 289564 434346 579128 868692 1737384 3033841 6067682 9101523 12135364 18203046 24270728 33372251 36406092 66744502 72812184 100116753 133489004 200233506 266978008 400467012 800934024