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3482900 = 2252291201
BaseRepresentation
bin1101010010010100010100
320112221122022
431102110110
51342423100
6202352312
741414141
oct15222424
96487568
103482900
111a69833
1211bb698
1394c3b5
146693c8
1548be85
hex352514

3482900 has 36 divisors (see below), whose sum is σ = 7825020. Its totient is φ = 1344000.

The previous prime is 3482887. The next prime is 3482939. The reversal of 3482900 is 92843.

3482900 is digitally balanced in base 5, 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 6 ways, for example, as 806404 + 2676496 = 898^2 + 1636^2 .

3482900 is an undulating number in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 3482900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2300 + ... + 3500.

Almost surely, 23482900 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 3482900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912510).

3482900 is an abundant number, since it is smaller than the sum of its proper divisors (4342120).

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

3482900 is a wasteful number, since it uses less digits than its factorization.

3482900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3482900 is about 1866.2529303393. The cubic root of 3482900 is about 151.5817797063.

The spelling of 3482900 in words is "three million, four hundred eighty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1201 1450 2402 2900 4804 6005 12010 24020 30025 34829 60050 69658 120100 139316 174145 348290 696580 870725 1741450 3482900