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3320320 = 2951297
BaseRepresentation
bin1100101010101000000000
320020200121211
430222220000
51322222240
6155055504
740136143
oct14525000
96220554
103320320
111968673
121141594
138c33b3
1462605a
15458bea
hex32aa00

3320320 has 40 divisors (see below), whose sum is σ = 7967124. Its totient is φ = 1327104.

The previous prime is 3320311. The next prime is 3320341. The reversal of 3320320 is 230233.

It can be written as a sum of positive squares in 2 ways, for example, as 3041536 + 278784 = 1744^2 + 528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33203202 = 22049049804800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3320320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1912 + ... + 3208.

Almost surely, 23320320 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 3320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983562).

3320320 is an abundant number, since it is smaller than the sum of its proper divisors (4646804).

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

3320320 is an equidigital number, since it uses as much as digits as its factorization.

3320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 3320320 is about 1822.1745251210. The cubic root of 3320320 is about 149.1855113187.

Adding to 3320320 its reverse (230233), we get a palindrome (3550553).

The spelling of 3320320 in words is "three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1297 2560 2594 5188 6485 10376 12970 20752 25940 41504 51880 83008 103760 166016 207520 332032 415040 664064 830080 1660160 3320320