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3382148 = 2271179139
BaseRepresentation
bin1100111001101110000100
320100211102202
430321232010
51331212043
6200254032
740514330
oct14715604
96324382
103382148
111a00070
121171318
13915593
146407c0
1546c1b8
hex339b84

3382148 has 48 divisors (see below), whose sum is σ = 7526400. Its totient is φ = 1291680.

The previous prime is 3382147. The next prime is 3382153. The reversal of 3382148 is 8412833.

It is a happy number.

3382148 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 2×33821482 = 22877850187808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3382148.

It is not an unprimeable number, because it can be changed into a prime (3382147) 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, 24263 + ... + 24401.

It is an arithmetic number, because the mean of its divisors is an integer number (156800).

Almost surely, 23382148 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 3382148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763200).

3382148 is an abundant number, since it is smaller than the sum of its proper divisors (4144252).

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

3382148 is a wasteful number, since it uses less digits than its factorization.

3382148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 3382148 is about 1839.0617172896. The cubic root of 3382148 is about 150.1058216240.

The spelling of 3382148 in words is "three million, three hundred eighty-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 79 139 154 158 278 308 316 553 556 869 973 1106 1529 1738 1946 2212 3058 3476 3892 6083 6116 10703 10981 12166 21406 21962 24332 42812 43924 76867 120791 153734 241582 307468 483164 845537 1691074 3382148