Search a number
-
+
3291330 = 235722239
BaseRepresentation
bin1100100011100011000010
320012012212010
430203203002
51320310310
6154313350
736655500
oct14434302
96165763
103291330
111948909
121128856
138b3143
14619670
15450320
hex3238c2

3291330 has 48 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 751968.

The previous prime is 3291317. The next prime is 3291331. The reversal of 3291330 is 331923.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3291297 and 3291306.

It is not an unprimeable number, because it can be changed into a prime (3291331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351 + ... + 2589.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 23291330 is an apocalyptic number.

3291330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3291330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3291330 is an abundant number, since it is smaller than the sum of its proper divisors (5901630).

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

3291330 is a wasteful number, since it uses less digits than its factorization.

3291330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 3291330 is about 1814.2023040444. The cubic root of 3291330 is about 148.7500576701.

The spelling of 3291330 in words is "three million, two hundred ninety-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 2239 4478 6717 11195 13434 15673 22390 31346 33585 47019 67170 78365 94038 109711 156730 219422 235095 329133 470190 548555 658266 1097110 1645665 3291330