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3442688 = 211412
BaseRepresentation
bin1101001000100000000000
320110220110222
431020200000
51340131223
6201442212
741155664
oct15104000
96426428
103442688
111a415a7
1211a0368
13936cc2
146588a4
154800c8
hex348800

3442688 has 36 divisors (see below), whose sum is σ = 7055685. Its totient is φ = 1679360.

The previous prime is 3442679. The next prime is 3442693. The reversal of 3442688 is 8862443.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 984064 = 1568^2 + 992^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1312.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 83948 + ... + 83988.

Almost surely, 23442688 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 3442688

3442688 is an abundant number, since it is smaller than the sum of its proper divisors (3612997).

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

3442688 is an frugal number, since it uses more digits than its factorization.

3442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 43 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 3442688 is about 1855.4481938335. The cubic root of 3442688 is about 150.9961550415.

The spelling of 3442688 in words is "three million, four hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 1681 2048 2624 3362 5248 6724 10496 13448 20992 26896 41984 53792 83968 107584 215168 430336 860672 1721344 3442688