Search a number
-
+
3285960 = 2335139197
BaseRepresentation
bin1100100010001111001000
320011221111020
430202033020
51320122320
6154232440
736634026
oct14421710
96157436
103285960
111944877
121125720
138b0872
14617716
1544d940
hex3223c8

3285960 has 64 divisors (see below), whose sum is σ = 9979200. Its totient is φ = 865536.

The previous prime is 3285959. The next prime is 3285979. The reversal of 3285960 is 695823.

It is a happy number.

3285960 is nontrivially palindromic in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16582 + ... + 16778.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

Almost surely, 23285960 is an apocalyptic number.

3285960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600).

3285960 is an abundant number, since it is smaller than the sum of its proper divisors (6693240).

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

3285960 is a wasteful number, since it uses less digits than its factorization.

3285960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3285960 is about 1812.7217105778. The cubic root of 3285960 is about 148.6691154545.

The spelling of 3285960 in words is "three million, two hundred eighty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 197 278 394 417 556 591 695 788 834 985 1112 1182 1390 1576 1668 1970 2085 2364 2780 2955 3336 3940 4170 4728 5560 5910 7880 8340 11820 16680 23640 27383 54766 82149 109532 136915 164298 219064 273830 328596 410745 547660 657192 821490 1095320 1642980 3285960