Search a number
-
+
361105938 = 23414932
BaseRepresentation
bin10101100001100…
…000101000010010
3221011111002020000
4111201200220102
51214420342223
655455430430
711643230664
oct2541405022
9834432200
10361105938
11175920266
12a0b25416
1359a7426b
1435d5c534
1521a7e543
hex15860a12

361105938 has 30 divisors (see below), whose sum is σ = 809687109. Its totient is φ = 120288024.

The previous prime is 361105933. The next prime is 361105951. The reversal of 361105938 is 839501163.

It is a happy number.

361105938 is a `hidden beast` number, since 3 + 61 + 1 + 0 + 593 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 300779649 + 60326289 = 17343^2 + 7767^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=13437.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (361105931) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 241120 + ... + 242612.

Almost surely, 2361105938 is an apocalyptic number.

361105938 is an abundant number, since it is smaller than the sum of its proper divisors (448581171).

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

361105938 is an frugal number, since it uses more digits than its factorization.

361105938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 361105938 is about 19002.7876376073. The cubic root of 361105938 is about 712.1063798147.

The spelling of 361105938 in words is "three hundred sixty-one million, one hundred five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 1493 2986 4479 8958 13437 26874 40311 80622 120933 241866 2229049 4458098 6687147 13374294 20061441 40122882 60184323 120368646 180552969 361105938