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3480320 = 2852719
BaseRepresentation
bin1101010001101100000000
320112211002202
431101230000
51342332240
6202332332
741403464
oct15215400
96484082
103480320
111a678a8
1211ba0a8
1394b17c
146684a4
1548b315
hex351b00

3480320 has 36 divisors (see below), whose sum is σ = 8339520. Its totient is φ = 1391616.

The previous prime is 3480299. The next prime is 3480329. The reversal of 3480320 is 230843.

It is a super-2 number, since 2×34803202 = 24225254604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3480292 and 3480301.

It is not an unprimeable number, because it can be changed into a prime (3480329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80 + ... + 2639.

Almost surely, 23480320 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 3480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169760).

3480320 is an abundant number, since it is smaller than the sum of its proper divisors (4859200).

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

3480320 is an equidigital number, since it uses as much as digits as its factorization.

3480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3480320 is about 1865.5615776489. The cubic root of 3480320 is about 151.5443417861.

The spelling of 3480320 in words is "three million, four hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2719 5438 10876 13595 21752 27190 43504 54380 87008 108760 174016 217520 348032 435040 696064 870080 1740160 3480320