Search a number
-
+
3290280 = 233573917
BaseRepresentation
bin1100100011010010101000
320012011102020
430203102220
51320242110
6154304440
736652440
oct14432250
96164366
103290280
111948044
121128120
138b2816
14619120
1544ed70
hex3234a8

3290280 has 64 divisors (see below), whose sum is σ = 11283840. Its totient is φ = 751872.

The previous prime is 3290267. The next prime is 3290281. The reversal of 3290280 is 820923.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3290280.

It is not an unprimeable number, because it can be changed into a prime (3290281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119 + ... + 2798.

It is an arithmetic number, because the mean of its divisors is an integer number (176310).

Almost surely, 23290280 is an apocalyptic number.

3290280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3290280 is an abundant number, since it is smaller than the sum of its proper divisors (7993560).

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

3290280 is a wasteful number, since it uses less digits than its factorization.

3290280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3290280 is about 1813.9128975781. The cubic root of 3290280 is about 148.7342379080.

It can be divided in two parts, 3290 and 280, that added together give a triangular number (3570 = T84).

The spelling of 3290280 in words is "three million, two hundred ninety thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 3917 7834 11751 15668 19585 23502 27419 31336 39170 47004 54838 58755 78340 82257 94008 109676 117510 137095 156680 164514 219352 235020 274190 329028 411285 470040 548380 658056 822570 1096760 1645140 3290280