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3442208 = 257112127
BaseRepresentation
bin1101001000011000100000
320110212211012
431020120200
51340122313
6201440052
741154410
oct15103040
96425735
103442208
111a41200
1211a0028
13936a13
14658640
1547eda8
hex348620

3442208 has 72 divisors (see below), whose sum is σ = 8580096. Its totient is φ = 1330560.

The previous prime is 3442189. The next prime is 3442217. The reversal of 3442208 is 8022443.

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 11 ways as a sum of consecutive naturals, for example, 27041 + ... + 27167.

It is an arithmetic number, because the mean of its divisors is an integer number (119168).

Almost surely, 23442208 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 3442208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290048).

3442208 is an abundant number, since it is smaller than the sum of its proper divisors (5137888).

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

3442208 is a wasteful number, since it uses less digits than its factorization.

3442208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3442208 is about 1855.3188405231. The cubic root of 3442208 is about 150.9891371219.

It can be divided in two parts, 344 and 2208, that added together give a palindrome (2552).

The spelling of 3442208 in words is "three million, four hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 127 154 176 224 242 254 308 352 484 508 616 847 889 968 1016 1232 1397 1694 1778 1936 2032 2464 2794 3388 3556 3872 4064 5588 6776 7112 9779 11176 13552 14224 15367 19558 22352 27104 28448 30734 39116 44704 61468 78232 107569 122936 156464 215138 245872 312928 430276 491744 860552 1721104 3442208