Search a number
-
+
361341036 = 22327412853
BaseRepresentation
bin10101100010011…
…010000001101100
3221011221000201100
4111202122001230
51220000403121
655504443100
711645230260
oct2542320154
9834830640
10361341036
11175a70961
12a1019490
1359b27284
1435dc00a0
1521ac9026
hex1589a06c

361341036 has 108 divisors (see below), whose sum is σ = 1071209776. Its totient is φ = 100604160.

The previous prime is 361341011. The next prime is 361341049. The reversal of 361341036 is 630143163.

361341036 is a `hidden beast` number, since 3 + 613 + 4 + 10 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 423186 + ... + 424038.

Almost surely, 2361341036 is an apocalyptic number.

361341036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361341036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535604888).

361341036 is an abundant number, since it is smaller than the sum of its proper divisors (709868740).

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

361341036 is a wasteful number, since it uses less digits than its factorization.

361341036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 361341036 is about 19008.9725130003. The cubic root of 361341036 is about 712.2608852284.

Adding to 361341036 its reverse (630143163), we get a palindrome (991484199).

The spelling of 361341036 in words is "three hundred sixty-one million, three hundred forty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 853 861 1148 1476 1681 1706 1722 2559 2583 3362 3412 3444 5043 5118 5166 5971 6724 7677 10086 10236 10332 11767 11942 15129 15354 17913 20172 23534 23884 30258 30708 34973 35301 35826 47068 53739 60516 69946 70602 71652 104919 105903 107478 139892 141204 209838 211806 214956 244811 314757 419676 423612 489622 629514 734433 979244 1259028 1433893 1468866 2203299 2867786 2937732 4301679 4406598 5735572 8603358 8813196 10037251 12905037 17206716 20074502 25810074 30111753 40149004 51620148 60223506 90335259 120447012 180670518 361341036