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3382720 = 26511312
BaseRepresentation
bin1100111001110111000000
320100212012221
430321313000
51331221340
6200300424
740516105
oct14716700
96325187
103382720
111a00540
121171714
13915913
14640aac
1546c44a
hex339dc0

3382720 has 84 divisors (see below), whose sum is σ = 9079992. Its totient is φ = 1190400.

The previous prime is 3382697. The next prime is 3382733. The reversal of 3382720 is 272833.

It is a happy number.

3382720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33827202 = 22885589196800, 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109105 + ... + 109135.

Almost surely, 23382720 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 3382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539996).

3382720 is an abundant number, since it is smaller than the sum of its proper divisors (5697272).

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

3382720 is a wasteful number, since it uses less digits than its factorization.

3382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3382720 is about 1839.2172247997. The cubic root of 3382720 is about 150.1142832771.

The spelling of 3382720 in words is "three million, three hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 155 160 176 220 248 310 320 341 352 440 496 620 682 704 880 961 992 1240 1364 1705 1760 1922 1984 2480 2728 3410 3520 3844 4805 4960 5456 6820 7688 9610 9920 10571 10912 13640 15376 19220 21142 21824 27280 30752 38440 42284 52855 54560 61504 76880 84568 105710 109120 153760 169136 211420 307520 338272 422840 676544 845680 1691360 3382720