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3332252 = 2271131349
BaseRepresentation
bin1100101101100010011100
320021021222202
430231202130
51323113002
6155231032
740216010
oct14554234
96237882
103332252
111976630
121148478
138c8961
1462a540
1545c502
hex32d89c

3332252 has 48 divisors (see below), whose sum is σ = 7526400. Its totient is φ = 1252800.

The previous prime is 3332233. The next prime is 3332267. The reversal of 3332252 is 2522333.

3332252 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 2×33322522 = 22207806783008, which contains 22 as substring.

It is a d-powerful number, because it can be written as 37 + 311 + 312 + 25 + 219 + 5 + 221 .

It is a congruent number.

It is an unprimeable number.

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, 9374 + ... + 9722.

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

Almost surely, 23332252 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 3332252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763200).

3332252 is an abundant number, since it is smaller than the sum of its proper divisors (4194148).

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

3332252 is a wasteful number, since it uses less digits than its factorization.

3332252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its digits is 1080, while the sum is 20.

The square root of 3332252 is about 1825.4456990007. The cubic root of 3332252 is about 149.3640034971.

Adding to 3332252 its reverse (2522333), we get a palindrome (5854585).

The spelling of 3332252 in words is "three million, three hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 349 434 682 698 868 1364 1396 2387 2443 3839 4774 4886 7678 9548 9772 10819 15356 21638 26873 43276 53746 75733 107492 119009 151466 238018 302932 476036 833063 1666126 3332252