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3320200 = 2352131277
BaseRepresentation
bin1100101010100110001000
320020200110101
430222212020
51322221300
6155055144
740135612
oct14524610
96220411
103320200
111968574
1211414b4
138c3320
14625db2
15458b6a
hex32a988

3320200 has 48 divisors (see below), whose sum is σ = 8319780. Its totient is φ = 1224960.

The previous prime is 3320197. The next prime is 3320201. The reversal of 3320200 is 20233.

It can be written as a sum of positive squares in 6 ways, for example, as 842724 + 2477476 = 918^2 + 1574^2 .

It is a super-2 number, since 2×33202002 = 22047456080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3320201) 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, 1962 + ... + 3238.

Almost surely, 23320200 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 3320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159890).

3320200 is an abundant number, since it is smaller than the sum of its proper divisors (4999580).

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

3320200 is a wasteful number, since it uses less digits than its factorization.

3320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3320200 is about 1822.1415971323. The cubic root of 3320200 is about 149.1837140544.

Adding to 3320200 its reverse (20233), we get a palindrome (3340433).

The spelling of 3320200 in words is "three million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1277 1300 2554 2600 5108 6385 10216 12770 16601 25540 31925 33202 51080 63850 66404 83005 127700 132808 166010 255400 332020 415025 664040 830050 1660100 3320200