Search a number
-
+
363422736 = 243217148457
BaseRepresentation
bin10101101010010…
…110010000010000
3221022211210021100
4111222112100100
51221014011421
6100021224400
712002020335
oct2552262020
9838753240
10363422736
11177162976
12a1862100
135a3a5951
14363a298c
1521d8ac26
hex15a96410

363422736 has 60 divisors (see below), whose sum is σ = 1076914332. Its totient is φ = 114014208.

The previous prime is 363422663. The next prime is 363422737. The reversal of 363422736 is 637224363.

It can be written as a sum of positive squares in 2 ways, for example, as 274233600 + 89189136 = 16560^2 + 9444^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 363422736.

It is not an unprimeable number, because it can be changed into a prime (363422737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71781 + ... + 76676.

Almost surely, 2363422736 is an apocalyptic number.

363422736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

363422736 is an abundant number, since it is smaller than the sum of its proper divisors (713491596).

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

363422736 is a wasteful number, since it uses less digits than its factorization.

363422736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148488 (or 148479 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 363422736 is about 19063.6495981226. The cubic root of 363422736 is about 713.6260546869.

The spelling of 363422736 in words is "three hundred sixty-three million, four hundred twenty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 148457 296914 445371 593828 890742 1187656 1336113 1781484 2375312 2523769 2672226 3562968 5047538 5344452 7125936 7571307 10095076 10688904 15142614 20190152 21377808 22713921 30285228 40380304 45427842 60570456 90855684 121140912 181711368 363422736