Search a number
-
+
3328620 = 2235291913
BaseRepresentation
bin1100101100101001101100
320021010000020
430230221230
51323003440
6155202140
740202301
oct14545154
96233006
103328620
111973929
121146350
138c70c9
146290a8
1545b3d0
hex32ca6c

3328620 has 48 divisors (see below), whose sum is σ = 9646560. Its totient is φ = 856576.

The previous prime is 3328601. The next prime is 3328621. The reversal of 3328620 is 268233.

3328620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33286202 = 22159422208800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3328621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 784 + ... + 2696.

It is an arithmetic number, because the mean of its divisors is an integer number (200970).

Almost surely, 23328620 is an apocalyptic number.

3328620 is a gapful number since it is divisible by the number (30) 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 3328620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823280).

3328620 is an abundant number, since it is smaller than the sum of its proper divisors (6317940).

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

3328620 is a wasteful number, since it uses less digits than its factorization.

3328620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3328620 is about 1824.4506022362. The cubic root of 3328620 is about 149.3097171590.

The spelling of 3328620 in words is "three million, three hundred twenty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 1913 3826 5739 7652 9565 11478 19130 22956 28695 38260 55477 57390 110954 114780 166431 221908 277385 332862 554770 665724 832155 1109540 1664310 3328620