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3428180 = 225747521
BaseRepresentation
bin1101000100111101010100
320110011120122
431010331110
51334200210
6201251112
741065460
oct15047524
96404518
103428180
111a31708
121193a98
13930512
146534a0
1547ab55
hex344f54

3428180 has 48 divisors (see below), whose sum is σ = 8418816. Its totient is φ = 1148160.

The previous prime is 3428143. The next prime is 3428209. The reversal of 3428180 is 818243.

3428180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34281802 = 23504836224800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 6320 + ... + 6840.

It is an arithmetic number, because the mean of its divisors is an integer number (175392).

Almost surely, 23428180 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 3428180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209408).

3428180 is an abundant number, since it is smaller than the sum of its proper divisors (4990636).

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

3428180 is a wasteful number, since it uses less digits than its factorization.

3428180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 3428180 is about 1851.5344987334. The cubic root of 3428180 is about 150.7837496297.

The spelling of 3428180 in words is "three million, four hundred twenty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 521 658 940 1042 1316 1645 2084 2605 3290 3647 5210 6580 7294 10420 14588 18235 24487 36470 48974 72940 97948 122435 171409 244870 342818 489740 685636 857045 1714090 3428180