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3428670 = 235729563
BaseRepresentation
bin1101000101000100111110
320110012020210
431011010332
51334204140
6201253250
741100060
oct15050476
96405223
103428670
111a32013
121194226
139307cb
14653730
1547ad80
hex34513e

3428670 has 64 divisors (see below), whose sum is σ = 9745920. Its totient is φ = 755328.

The previous prime is 3428657. The next prime is 3428671. The reversal of 3428670 is 768243.

3428670 = 152 + 162 + ... + 2172.

3428670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428671) 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 31 ways as a sum of consecutive naturals, for example, 5809 + ... + 6371.

It is an arithmetic number, because the mean of its divisors is an integer number (152280).

Almost surely, 23428670 is an apocalyptic number.

3428670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872960).

3428670 is an abundant number, since it is smaller than the sum of its proper divisors (6317250).

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

3428670 is a wasteful number, since it uses less digits than its factorization.

3428670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3428670 is about 1851.6668166817. Note that the first 3 decimals coincide. The cubic root of 3428670 is about 150.7909332779.

The spelling of 3428670 in words is "three million, four hundred twenty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 563 609 870 1015 1126 1218 1689 2030 2815 3045 3378 3941 5630 6090 7882 8445 11823 16327 16890 19705 23646 32654 39410 48981 59115 81635 97962 114289 118230 163270 228578 244905 342867 489810 571445 685734 1142890 1714335 3428670