Search a number
-
+
3428700 = 22352111039
BaseRepresentation
bin1101000101000101011100
320110012021220
431011011130
51334204300
6201253340
741100132
oct15050534
96405256
103428700
111a32040
121194250
13930822
14653752
1547ada0
hex34515c

3428700 has 72 divisors (see below), whose sum is σ = 10832640. Its totient is φ = 830400.

The previous prime is 3428681. The next prime is 3428717. The reversal of 3428700 is 78243.

It is a cake number, because a cake can be divided into 3428700 parts by 274 planar cuts.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2781 + ... + 3819.

Almost surely, 23428700 is an apocalyptic number.

3428700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416320).

3428700 is an abundant number, since it is smaller than the sum of its proper divisors (7403940).

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

3428700 is a wasteful number, since it uses less digits than its factorization.

3428700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3428700 is about 1851.6749174734. The cubic root of 3428700 is about 150.7913730709.

The spelling of 3428700 in words is "three million, four hundred twenty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1039 1100 1650 2078 3117 3300 4156 5195 6234 10390 11429 12468 15585 20780 22858 25975 31170 34287 45716 51950 57145 62340 68574 77925 103900 114290 137148 155850 171435 228580 285725 311700 342870 571450 685740 857175 1142900 1714350 3428700