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3420564 = 223743947
BaseRepresentation
bin1101000011000110010100
320102210010120
431003012110
51333424224
6201151540
741034330
oct15030624
96383116
103420564
111a26a14
12118b5b0
13929c04
146507c0
15478779
hex343194

3420564 has 48 divisors (see below), whose sum is σ = 9343488. Its totient is φ = 953568.

The previous prime is 3420563. The next prime is 3420569. The reversal of 3420564 is 4650243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3139 + ... + 4085.

It is an arithmetic number, because the mean of its divisors is an integer number (194656).

Almost surely, 23420564 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 3420564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671744).

3420564 is an abundant number, since it is smaller than the sum of its proper divisors (5922924).

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

3420564 is a wasteful number, since it uses less digits than its factorization.

3420564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3420564 is about 1849.4766827403. The cubic root of 3420564 is about 150.6720071027.

The spelling of 3420564 in words is "three million, four hundred twenty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 947 1204 1806 1894 2841 3612 3788 5682 6629 11364 13258 19887 26516 39774 40721 79548 81442 122163 162884 244326 285047 488652 570094 855141 1140188 1710282 3420564