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3366880 = 255111913
BaseRepresentation
bin1100110101111111100000
320100001111021
430311333200
51330220010
6200055224
740421656
oct14657740
96301437
103366880
11199a650
121164514
1390b64a
14638dd6
154678da
hex335fe0

3366880 has 48 divisors (see below), whose sum is σ = 8681904. Its totient is φ = 1223680.

The previous prime is 3366877. The next prime is 3366899. The reversal of 3366880 is 886633.

It is a super-2 number, since 2×33668802 = 22671761868800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 804 + ... + 2716.

It is an arithmetic number, because the mean of its divisors is an integer number (180873).

Almost surely, 23366880 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 3366880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340952).

3366880 is an abundant number, since it is smaller than the sum of its proper divisors (5315024).

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

3366880 is a wasteful number, since it uses less digits than its factorization.

3366880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3366880 is about 1834.9059921424. The cubic root of 3366880 is about 149.8796070999.

The spelling of 3366880 in words is "three million, three hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 1913 3826 7652 9565 15304 19130 21043 30608 38260 42086 61216 76520 84172 105215 153040 168344 210430 306080 336688 420860 673376 841720 1683440 3366880