Search a number
-
+
3241000 = 23537463
BaseRepresentation
bin1100010111010000101000
320002122211001
430113100220
51312203000
6153244344
736355660
oct14272050
96078731
103241000
111914014
1211036b4
13896269
146051a0
1544046a
hex317428

3241000 has 64 divisors (see below), whose sum is σ = 8686080. Its totient is φ = 1108800.

The previous prime is 3240983. The next prime is 3241093. The reversal of 3241000 is 1423.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 6769 + ... + 7231.

It is an arithmetic number, because the mean of its divisors is an integer number (135720).

Almost surely, 23241000 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 3241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343040).

3241000 is an abundant number, since it is smaller than the sum of its proper divisors (5445080).

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

3241000 is a wasteful number, since it uses less digits than its factorization.

3241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3241000 is about 1800.2777563476. The cubic root of 3241000 is about 147.9879464252.

Adding to 3241000 its reverse (1423), we get a palindrome (3242423).

The spelling of 3241000 in words is "three million, two hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 463 500 700 875 926 1000 1400 1750 1852 2315 3241 3500 3704 4630 6482 7000 9260 11575 12964 16205 18520 23150 25928 32410 46300 57875 64820 81025 92600 115750 129640 162050 231500 324100 405125 463000 648200 810250 1620500 3241000