Search a number
-
+
3328740 = 2232518493
BaseRepresentation
bin1100101100101011100100
320021010011200
430230223210
51323004430
6155202500
740202532
oct14545344
96233150
103328740
111973a28
121146430
138c718c
14629152
1545b460
hex32cae4

3328740 has 36 divisors (see below), whose sum is σ = 10097724. Its totient is φ = 887616.

The previous prime is 3328739. The next prime is 3328747. The reversal of 3328740 is 478233.

3328740 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 1272384 + 2056356 = 1128^2 + 1434^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33287402 = 22161019975200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3328747) 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 11 ways as a sum of consecutive naturals, for example, 9067 + ... + 9426.

Almost surely, 23328740 is an apocalyptic number.

3328740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3328740 is an abundant number, since it is smaller than the sum of its proper divisors (6768984).

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

3328740 is a wasteful number, since it uses less digits than its factorization.

3328740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18508 (or 18503 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3328740 is about 1824.4834885523. The cubic root of 3328740 is about 149.3115113911.

The spelling of 3328740 in words is "three million, three hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18493 36986 55479 73972 92465 110958 166437 184930 221916 277395 332874 369860 554790 665748 832185 1109580 1664370 3328740