Search a number
-
+
361361328 = 24354713763
BaseRepresentation
bin10101100010011…
…110111110110000
3221011222001112220
4111202132332300
51220002030303
655505121040
711645343366
oct2542367660
9834861486
10361361328
11175a85129
12a1029180
1359b33593
1435dc7636
1521ad0053
hex1589efb0

361361328 has 40 divisors (see below), whose sum is σ = 935291328. Its totient is φ = 120224832.

The previous prime is 361361321. The next prime is 361361339. The reversal of 361361328 is 823163163.

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

It is not an unprimeable number, because it can be changed into a prime (361361321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19375 + ... + 33137.

Almost surely, 2361361328 is an apocalyptic number.

It is an amenable number.

361361328 is an abundant number, since it is smaller than the sum of its proper divisors (573930000).

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

361361328 is a wasteful number, since it uses less digits than its factorization.

361361328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14321 (or 14315 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 361361328 is about 19009.5062534512. The cubic root of 361361328 is about 712.2742179030.

The spelling of 361361328 in words is "three hundred sixty-one million, three hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 547 1094 1641 2188 3282 4376 6564 8752 13128 13763 26256 27526 41289 55052 82578 110104 165156 220208 330312 660624 7528361 15056722 22585083 30113444 45170166 60226888 90340332 120453776 180680664 361361328