Search a number
-
+
3188196 = 2232118397
BaseRepresentation
bin1100001010010111100100
312222222101100
430022113210
51304010241
6152200100
736046014
oct14122744
95888340
103188196
111888380
121099030
1387820b
145cdc44
1542e9b6
hex30a5e4

3188196 has 72 divisors (see below), whose sum is σ = 8989344. Its totient is φ = 944640.

The previous prime is 3188177. The next prime is 3188221. The reversal of 3188196 is 6918813.

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 3188196.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32820 + ... + 32916.

It is an arithmetic number, because the mean of its divisors is an integer number (124852).

Almost surely, 23188196 is an apocalyptic number.

3188196 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 3188196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494672).

3188196 is an abundant number, since it is smaller than the sum of its proper divisors (5801148).

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

3188196 is a wasteful number, since it uses less digits than its factorization.

3188196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 196 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 3188196 is about 1785.5520154843. The cubic root of 3188196 is about 147.1798437469.

The spelling of 3188196 in words is "three million, one hundred eighty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 97 99 132 166 194 198 249 291 332 388 396 498 582 747 873 913 996 1067 1164 1494 1746 1826 2134 2739 2988 3201 3492 3652 4268 5478 6402 8051 8217 9603 10956 12804 16102 16434 19206 24153 32204 32868 38412 48306 72459 88561 96612 144918 177122 265683 289836 354244 531366 797049 1062732 1594098 3188196