Search a number
-
+
3355648 = 21029113
BaseRepresentation
bin1100110011010000000000
320022111002021
430303100000
51324340043
6155531224
740344142
oct14632000
96274067
103355648
11199216a
121159b14
139064ba
14634c92
154643ed
hex333400

3355648 has 44 divisors (see below), whose sum is σ = 7000740. Its totient is φ = 1605632.

The previous prime is 3355643. The next prime is 3355661. The reversal of 3355648 is 8465533.

It can be written as a sum of positive squares in 2 ways, for example, as 692224 + 2663424 = 832^2 + 1632^2 .

It is a super-2 number, since 2×33556482 = 22520746999808, which contains 22 as substring.

Its product of digits (43200) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355643) 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 3 ways as a sum of consecutive naturals, for example, 29640 + ... + 29752.

Almost surely, 23355648 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 3355648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500370).

3355648 is an abundant number, since it is smaller than the sum of its proper divisors (3645092).

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

3355648 is a wasteful number, since it uses less digits than its factorization.

3355648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 3355648 is about 1831.8427880143. The cubic root of 3355648 is about 149.7127539863.

The spelling of 3355648 in words is "three million, three hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 113 116 128 226 232 256 452 464 512 904 928 1024 1808 1856 3277 3616 3712 6554 7232 7424 13108 14464 14848 26216 28928 29696 52432 57856 104864 115712 209728 419456 838912 1677824 3355648