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3428320 = 25573061
BaseRepresentation
bin1101000100111111100000
320110011202211
431010333200
51334201240
6201251504
741066050
oct15047740
96404684
103428320
111a31825
121193b94
139305bc
14653560
1547abea
hex344fe0

3428320 has 48 divisors (see below), whose sum is σ = 9259488. Its totient is φ = 1175040.

The previous prime is 3428287. The next prime is 3428329. The reversal of 3428320 is 238243.

3428320 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3428291 and 3428300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428329) by changing a digit.

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, 411 + ... + 2650.

It is an arithmetic number, because the mean of its divisors is an integer number (192906).

Almost surely, 23428320 is an apocalyptic number.

It is an amenable number.

3428320 is an abundant number, since it is smaller than the sum of its proper divisors (5831168).

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

3428320 is a wasteful number, since it uses less digits than its factorization.

3428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3428320 is about 1851.5723048264. The cubic root of 3428320 is about 150.7858021705.

The spelling of 3428320 in words is "three million, four hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3061 6122 12244 15305 21427 24488 30610 42854 48976 61220 85708 97952 107135 122440 171416 214270 244880 342832 428540 489760 685664 857080 1714160 3428320