Search a number
-
+
422318736 = 243272391753
BaseRepresentation
bin11001001011000…
…001001010010000
31002102200000101200
4121023001022100
51331103144421
6105523431200
713315435650
oct3113011220
91072600350
10422318736
111a742a354
12b9525500
1369657258
1440134360
1527121726
hex192c1290

422318736 has 120 divisors (see below), whose sum is σ = 1357175040. Its totient is φ = 120089088.

The previous prime is 422318723. The next prime is 422318759. The reversal of 422318736 is 637813224.

It is a happy number.

It is a super-2 number, since 2×4223187362 = 356706229553275392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 422318736.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240036 + ... + 241788.

It is an arithmetic number, because the mean of its divisors is an integer number (11309792).

Almost surely, 2422318736 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 422318736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678587520).

422318736 is an abundant number, since it is smaller than the sum of its proper divisors (934856304).

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

422318736 is a wasteful number, since it uses less digits than its factorization.

422318736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2004 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 422318736 is about 20550.3950326995. The cubic root of 422318736 is about 750.2628625270.

The spelling of 422318736 in words is "four hundred twenty-two million, three hundred eighteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 239 252 336 478 504 717 956 1008 1434 1673 1753 1912 2151 2868 3346 3506 3824 4302 5019 5259 5736 6692 7012 8604 10038 10518 11472 12271 13384 14024 15057 15777 17208 20076 21036 24542 26768 28048 30114 31554 34416 36813 40152 42072 49084 60228 63108 73626 80304 84144 98168 110439 120456 126216 147252 196336 220878 240912 252432 294504 418967 441756 589008 837934 883512 1256901 1675868 1767024 2513802 2932769 3351736 3770703 5027604 5865538 6703472 7541406 8798307 10055208 11731076 15082812 17596614 20110416 23462152 26394921 30165624 35193228 46924304 52789842 60331248 70386456 105579684 140772912 211159368 422318736