Search a number
-
+
3292996 = 227253317
BaseRepresentation
bin1100100011111101000100
320012022010211
430203331010
51320333441
6154325204
736663400
oct14437504
96168124
103292996
11194a093
121129804
138b3b25
1461a100
15450a81
hex323f44

3292996 has 36 divisors (see below), whose sum is σ = 6851628. Its totient is φ = 1380288.

The previous prime is 3292981. The next prime is 3293009. The reversal of 3292996 is 6992923.

3292996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1132096 + 2160900 = 1064^2 + 1470^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10230 + ... + 10546.

It is an arithmetic number, because the mean of its divisors is an integer number (190323).

Almost surely, 23292996 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 3292996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425814).

3292996 is an abundant number, since it is smaller than the sum of its proper divisors (3558632).

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

3292996 is a wasteful number, since it uses less digits than its factorization.

3292996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its digits is 52488, while the sum is 40.

The square root of 3292996 is about 1814.6614009230. The cubic root of 3292996 is about 148.7751514564.

The spelling of 3292996 in words is "three million, two hundred ninety-two thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 317 371 634 742 1268 1484 2219 2597 4438 5194 8876 10388 15533 16801 31066 33602 62132 67204 117607 235214 470428 823249 1646498 3292996