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3406208 = 27132389
BaseRepresentation
bin1100111111100110000000
320102001102212
430333212000
51332444313
6201001252
740644431
oct14774600
96361385
103406208
111a17153
121183228
13923510
14649488
154743a8
hex33f980

3406208 has 64 divisors (see below), whose sum is σ = 7711200. Its totient is φ = 1486848.

The previous prime is 3406189. The next prime is 3406217. The reversal of 3406208 is 8026043.

It is a happy number.

3406208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38228 + ... + 38316.

Almost surely, 23406208 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 3406208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855600).

3406208 is an abundant number, since it is smaller than the sum of its proper divisors (4304992).

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

3406208 is a wasteful number, since it uses less digits than its factorization.

3406208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3406208 is about 1845.5915040983. The cubic root of 3406208 is about 150.4609229569.

The spelling of 3406208 in words is "three million, four hundred six thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 89 92 104 128 178 184 208 299 356 368 416 598 712 736 832 1157 1196 1424 1472 1664 2047 2314 2392 2848 2944 4094 4628 4784 5696 8188 9256 9568 11392 16376 18512 19136 26611 32752 37024 38272 53222 65504 74048 106444 131008 148096 212888 262016 425776 851552 1703104 3406208