Search a number
-
+
806342320 = 24576721491
BaseRepresentation
bin110000000011111…
…100111010110000
32002012021102201101
4300003330322300
53122410423240
6212002414144
725660540150
oct6003747260
92065242641
10806342320
11384182a13
121a6061354
13cb093944
147913a760
154abcb39a
hex300fceb0

806342320 has 80 divisors (see below), whose sum is σ = 2174646528. Its totient is φ = 272321280.

The previous prime is 806342297. The next prime is 806342323. The reversal of 806342320 is 23243608.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (806342323) 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, 26775 + ... + 48265.

Almost surely, 2806342320 is an apocalyptic number.

806342320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087323264).

806342320 is an abundant number, since it is smaller than the sum of its proper divisors (1368304208).

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

806342320 is a wasteful number, since it uses less digits than its factorization.

806342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21578 (or 21572 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 806342320 is about 28396.1673470206. The cubic root of 806342320 is about 930.7645156828.

Adding to 806342320 its reverse (23243608), we get a palindrome (829585928).

The spelling of 806342320 in words is "eight hundred six million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 938 1072 1340 1876 2345 2680 3752 4690 5360 7504 9380 18760 21491 37520 42982 85964 107455 150437 171928 214910 300874 343856 429820 601748 752185 859640 1203496 1439897 1504370 1719280 2406992 2879794 3008740 5759588 6017480 7199485 10079279 11519176 12034960 14398970 20158558 23038352 28797940 40317116 50396395 57595880 80634232 100792790 115191760 161268464 201585580 403171160 806342320