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3329840 = 245107389
BaseRepresentation
bin1100101100111100110000
320021011200102
430230330300
51323023330
6155211532
740205663
oct14547460
96234612
103329840
111974838
121146ba8
138c7827
146296da
1545b945
hex32cf30

3329840 has 40 divisors (see below), whose sum is σ = 7834320. Its totient is φ = 1316096.

The previous prime is 3329839. The next prime is 3329861. The reversal of 3329840 is 489233.

3329840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33298402 = 22175668851200, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8366 + ... + 8754.

It is an arithmetic number, because the mean of its divisors is an integer number (195858).

Almost surely, 23329840 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 3329840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160).

3329840 is an abundant number, since it is smaller than the sum of its proper divisors (4504480).

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

3329840 is a wasteful number, since it uses less digits than its factorization.

3329840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3329840 is about 1824.7849188329. The cubic root of 3329840 is about 149.3279565099.

The spelling of 3329840 in words is "three million, three hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 389 428 535 778 856 1070 1556 1712 1945 2140 3112 3890 4280 6224 7780 8560 15560 31120 41623 83246 166492 208115 332984 416230 665968 832460 1664920 3329840