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3428420 = 2253741113
BaseRepresentation
bin1101000101000001000100
320110011220112
431011001010
51334202140
6201252152
741066252
oct15050104
96404815
103428420
111a31906
121194058
13930668
146535d2
1547ac65
hex345044

3428420 has 48 divisors (see below), whose sum is σ = 7641648. Its totient is φ = 1290240.

The previous prime is 3428419. The next prime is 3428423. The reversal of 3428420 is 248243.

3428420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 652864 + 2775556 = 808^2 + 1666^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428423) 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 15 ways as a sum of consecutive naturals, for example, 30284 + ... + 30396.

It is an arithmetic number, because the mean of its divisors is an integer number (159201).

Almost surely, 23428420 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 3428420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820824).

3428420 is an abundant number, since it is smaller than the sum of its proper divisors (4213228).

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

3428420 is a wasteful number, since it uses less digits than its factorization.

3428420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3428420 is about 1851.5993087059. The cubic root of 3428420 is about 150.7872682368.

The spelling of 3428420 in words is "three million, four hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 41 74 82 113 148 164 185 205 226 370 410 452 565 740 820 1130 1517 2260 3034 4181 4633 6068 7585 8362 9266 15170 16724 18532 20905 23165 30340 41810 46330 83620 92660 171421 342842 685684 857105 1714210 3428420