Search a number
-
+
3223688 = 2313139223
BaseRepresentation
bin1100010011000010001000
320001210001212
430103002020
51311124223
6153032252
736254336
oct14230210
96053055
103223688
111902006
1210b5688
1388b410
145dcb56
1543a278
hex313088

3223688 has 32 divisors (see below), whose sum is σ = 6585600. Its totient is φ = 1470528.

The previous prime is 3223687. The next prime is 3223709. The reversal of 3223688 is 8863223.

It is a happy number.

It is a d-powerful number, because it can be written as 313 + 2 + 211 + 313 + 63 + 8 + 85 .

It is not an unprimeable number, because it can be changed into a prime (3223687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14345 + ... + 14567.

It is an arithmetic number, because the mean of its divisors is an integer number (205800).

Almost surely, 23223688 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 3223688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292800).

3223688 is an abundant number, since it is smaller than the sum of its proper divisors (3361912).

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

3223688 is a wasteful number, since it uses less digits than its factorization.

3223688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 3223688 is about 1795.4631714407. The cubic root of 3223688 is about 147.7239803089.

The spelling of 3223688 in words is "three million, two hundred twenty-three thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 26 52 104 139 223 278 446 556 892 1112 1784 1807 2899 3614 5798 7228 11596 14456 23192 30997 61994 123988 247976 402961 805922 1611844 3223688