Search a number
-
+
3414208 = 2677621
BaseRepresentation
bin1101000001100011000000
320102110102011
431001203000
51333223313
6201102304
741006650
oct15014300
96373364
103414208
111a22166
121187994
13927055
1464c360
1547693d
hex3418c0

3414208 has 28 divisors (see below), whose sum is σ = 7743952. Its totient is φ = 1463040.

The previous prime is 3414197. The next prime is 3414209. The reversal of 3414208 is 8024143.

It is a tau number, because it is divible by the number of its divisors (28).

It is not an unprimeable number, because it can be changed into a prime (3414209) by changing a digit.

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, 3363 + ... + 4258.

Almost surely, 23414208 is an apocalyptic number.

It is an amenable number.

3414208 is an abundant number, since it is smaller than the sum of its proper divisors (4329744).

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

3414208 is an equidigital number, since it uses as much as digits as its factorization.

3414208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7640 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 3414208 is about 1847.7575598546. The cubic root of 3414208 is about 150.5786243483.

The spelling of 3414208 in words is "three million, four hundred fourteen thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 7621 15242 30484 53347 60968 106694 121936 213388 243872 426776 487744 853552 1707104 3414208