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3342900 = 22352111013

3342900 has 72 divisors (see below), whose sum is σ = 10561824. Its totient is φ = 809600.

The previous prime is 3342887. The next prime is 3342901. The reversal of 3342900 is 92433.

It is a super-2 number, since 2×33429002 = 22349960820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2794 + ... + 3806.

It is an arithmetic number, because the mean of its divisors is an integer number (146692).

Almost surely, 23342900 is an apocalyptic number.

3342900 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 3342900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280912).

3342900 is an abundant number, since it is smaller than the sum of its proper divisors (7218924).

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

3342900 is a wasteful number, since it uses less digits than its factorization.

3342900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3342900 is about 1828.3599208033. The cubic root of 3342900 is about 149.5229287398.

The spelling of 3342900 in words is "three million, three hundred forty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1013 1100 1650 2026 3039 3300 4052 5065 6078 10130 11143 12156 15195 20260 22286 25325 30390 33429 44572 50650 55715 60780 66858 75975 101300 111430 133716 151950 167145 222860 278575 303900 334290 557150 668580 835725 1114300 1671450 3342900