Search a number
-
+
3981348 = 2232723761
BaseRepresentation
bin1111001100000000100100
321111021101100
433030000210
52004400343
6221200100
745561300
oct17140044
97437340
103981348
11227a278
121400030
13a95237
14758d00
155399d3
hex3cc024

3981348 has 108 divisors (see below), whose sum is σ = 12220572. Its totient is φ = 1088640.

The previous prime is 3981343. The next prime is 3981389. The reversal of 3981348 is 8431893.

It can be written as a sum of positive squares in 2 ways, for example, as 1695204 + 2286144 = 1302^2 + 1512^2 .

It is a super-2 number, since 2×39813482 = 31702263794208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65238 + ... + 65298.

Almost surely, 23981348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3981348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110286).

3981348 is an abundant number, since it is smaller than the sum of its proper divisors (8239224).

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

3981348 is a wasteful number, since it uses less digits than its factorization.

3981348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 3981348 is about 1995.3315513969. The cubic root of 3981348 is about 158.4929856549.

The spelling of 3981348 in words is "three million, nine hundred eighty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 49 61 63 74 84 98 111 122 126 147 148 183 196 222 244 252 259 294 333 366 427 441 444 518 549 588 666 732 777 854 882 1036 1098 1281 1332 1554 1708 1764 1813 2196 2257 2331 2562 2989 3108 3626 3843 4514 4662 5124 5439 5978 6771 7252 7686 8967 9028 9324 10878 11956 13542 15372 15799 16317 17934 20313 21756 26901 27084 31598 32634 35868 40626 47397 53802 63196 65268 81252 94794 107604 110593 142191 189588 221186 284382 331779 442372 568764 663558 995337 1327116 1990674 3981348