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3290120 = 23583991
BaseRepresentation
bin1100100011010000001000
320012011012022
430203100020
51320240440
6154304012
736652121
oct14432010
96164168
103290120
111947a09
121128008
138b2722
14619048
1544ecb5
hex323408

3290120 has 32 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 1298880.

The previous prime is 3290117. The next prime is 3290149. The reversal of 3290120 is 210923.

It is a super-2 number, since 2×32901202 = 21649779228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2825 + ... + 3815.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 23290120 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 3290120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

3290120 is an abundant number, since it is smaller than the sum of its proper divisors (4209400).

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

3290120 is a wasteful number, since it uses less digits than its factorization.

3290120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3290120 is about 1813.8687934909. The cubic root of 3290120 is about 148.7318269821.

The spelling of 3290120 in words is "three million, two hundred ninety thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 991 1660 1982 3320 3964 4955 7928 9910 19820 39640 82253 164506 329012 411265 658024 822530 1645060 3290120