Search a number
-
+
3282420 = 2235227241
BaseRepresentation
bin1100100001010111110100
320011202122010
430201113310
51320014140
6154204220
736620511
oct14412764
96152563
103282420
111942149
121123670
138ac07b
14616308
1544c880
hex3215f4

3282420 has 48 divisors (see below), whose sum is σ = 9269568. Its totient is φ = 867840.

The previous prime is 3282407. The next prime is 3282427. The reversal of 3282420 is 242823.

3282420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13500 + ... + 13740.

It is an arithmetic number, because the mean of its divisors is an integer number (193116).

Almost surely, 23282420 is an apocalyptic number.

3282420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3282420 is an abundant number, since it is smaller than the sum of its proper divisors (5987148).

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

3282420 is a wasteful number, since it uses less digits than its factorization.

3282420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3282420 is about 1811.7450151718. The cubic root of 3282420 is about 148.6157086598.

The spelling of 3282420 in words is "three million, two hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 227 241 454 482 681 723 908 964 1135 1205 1362 1446 2270 2410 2724 2892 3405 3615 4540 4820 6810 7230 13620 14460 54707 109414 164121 218828 273535 328242 547070 656484 820605 1094140 1641210 3282420