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3342100 = 2252191759
BaseRepresentation
bin1100101111111100010100
320021210111111
430233330110
51323421400
6155344404
740256506
oct14577424
96253444
103342100
111982a73
121152104
13900298
1462dd76
154603ba
hex32ff14

3342100 has 36 divisors (see below), whose sum is σ = 7638400. Its totient is φ = 1265760.

The previous prime is 3342091. The next prime is 3342103. The reversal of 3342100 is 12433.

3342100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33421002 = 22339264820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1021 + ... + 2779.

Almost surely, 23342100 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 3342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819200).

3342100 is an abundant number, since it is smaller than the sum of its proper divisors (4296300).

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

3342100 is a wasteful number, since it uses less digits than its factorization.

3342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3342100 is about 1828.1411324075. The cubic root of 3342100 is about 149.5110001861.

Adding to 3342100 its reverse (12433), we get a palindrome (3354533).

The spelling of 3342100 in words is "three million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1759 1900 3518 7036 8795 17590 33421 35180 43975 66842 87950 133684 167105 175900 334210 668420 835525 1671050 3342100