Search a number
-
+
3240804 = 223741941
BaseRepresentation
bin1100010111001101100100
320002122112210
430113031210
51312201204
6153243420
736355260
oct14271544
96078483
103240804
111913956
121103570
13896148
146050a0
15440389
hex317364

3240804 has 48 divisors (see below), whose sum is σ = 8862336. Its totient is φ = 902400.

The previous prime is 3240767. The next prime is 3240841. The reversal of 3240804 is 4080423.

It is a happy number.

3240804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3240767) and next prime (3240841).

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

It is an unprimeable number.

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, 2974 + ... + 3914.

It is an arithmetic number, because the mean of its divisors is an integer number (184632).

Almost surely, 23240804 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 3240804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431168).

3240804 is an abundant number, since it is smaller than the sum of its proper divisors (5621532).

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

3240804 is a wasteful number, since it uses less digits than its factorization.

3240804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 994 counting only the distinct ones).

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

The square root of 3240804 is about 1800.2233194801. The cubic root of 3240804 is about 147.9849631667.

The spelling of 3240804 in words is "three million, two hundred forty thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 941 1148 1722 1882 2823 3444 3764 5646 6587 11292 13174 19761 26348 38581 39522 77162 79044 115743 154324 231486 270067 462972 540134 810201 1080268 1620402 3240804