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3412840 = 235412081
BaseRepresentation
bin1101000001001101101000
320102101112111
431001031220
51333202330
6201052104
741002654
oct15011550
96371474
103412840
111a21132
121187034
13926542
1464ba64
1547632a
hex341368

3412840 has 32 divisors (see below), whose sum is σ = 7869960. Its totient is φ = 1331200.

The previous prime is 3412831. The next prime is 3412841. The reversal of 3412840 is 482143.

It can be written as a sum of positive squares in 4 ways, for example, as 1633284 + 1779556 = 1278^2 + 1334^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600 + ... + 2680.

Almost surely, 23412840 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 3412840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934980).

3412840 is an abundant number, since it is smaller than the sum of its proper divisors (4457120).

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

3412840 is a wasteful number, since it uses less digits than its factorization.

3412840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 3412840 is about 1847.3873443325. The cubic root of 3412840 is about 150.5585104521.

Adding to 3412840 its reverse (482143), we get a palindrome (3894983).

The spelling of 3412840 in words is "three million, four hundred twelve thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 2081 4162 8324 10405 16648 20810 41620 83240 85321 170642 341284 426605 682568 853210 1706420 3412840