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3422800 = 245243199
BaseRepresentation
bin1101000011101001010000
320102220012101
431003221100
51334012200
6201210144
741044003
oct15035120
96386171
103422800
111a28667
121190954
1392ac34
1465153a
1547926a
hex343a50

3422800 has 60 divisors (see below), whose sum is σ = 8456800. Its totient is φ = 1330560.

The previous prime is 3422773. The next prime is 3422801. The reversal of 3422800 is 82243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17101 + ... + 17299.

Almost surely, 23422800 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 3422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228400).

3422800 is an abundant number, since it is smaller than the sum of its proper divisors (5034000).

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

3422800 is a wasteful number, since it uses less digits than its factorization.

3422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3422800 is about 1850.0810793044. The cubic root of 3422800 is about 150.7048310487.

The spelling of 3422800 in words is "three million, four hundred twenty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 199 200 215 344 398 400 430 688 796 860 995 1075 1592 1720 1990 2150 3184 3440 3980 4300 4975 7960 8557 8600 9950 15920 17114 17200 19900 34228 39800 42785 68456 79600 85570 136912 171140 213925 342280 427850 684560 855700 1711400 3422800