Search a number
-
+
363036132 = 223261165317
BaseRepresentation
bin10101101000110…
…111110111100100
3221022010010221200
4111220313313210
51220414124012
6100005042500
711665520244
oct2550676744
9838103850
10363036132
11176a19468
12a16b6430
135a29b9a4
1436301b24
1521d113dc
hex15a37de4

363036132 has 36 divisors (see below), whose sum is σ = 932724156. Its totient is φ = 119027520.

The previous prime is 363036103. The next prime is 363036161. The reversal of 363036132 is 231630363.

It is an interprime number because it is at equal distance from previous prime (363036103) and next prime (363036161).

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 359709156 = 1824^2 + 18966^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 363036096 and 363036105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80463 + ... + 84854.

Almost surely, 2363036132 is an apocalyptic number.

It is an amenable number.

363036132 is an abundant number, since it is smaller than the sum of its proper divisors (569688024).

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

363036132 is a wasteful number, since it uses less digits than its factorization.

363036132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165388 (or 165383 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 363036132 is about 19053.5070787506. The cubic root of 363036132 is about 713.3729164475.

Adding to 363036132 its reverse (231630363), we get a palindrome (594666495).

The spelling of 363036132 in words is "three hundred sixty-three million, thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 165317 330634 495951 661268 991902 1487853 1983804 2975706 5951412 10084337 20168674 30253011 40337348 60506022 90759033 121012044 181518066 363036132