Search a number
-
+
3243000 = 233532347
BaseRepresentation
bin1100010111101111111000
320002202120010
430113233320
51312234000
6153301520
736364545
oct14275770
96082503
103243000
111915572
1211048a0
13897147
14605bcc
15440d50
hex317bf8

3243000 has 128 divisors (see below), whose sum is σ = 10782720. Its totient is φ = 809600.

The previous prime is 3242999. The next prime is 3243007. The reversal of 3243000 is 3423.

3243000 = T19 + T20 + ... + T268.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68977 + ... + 69023.

It is an arithmetic number, because the mean of its divisors is an integer number (84240).

Almost surely, 23243000 is an apocalyptic number.

3243000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391360).

3243000 is an abundant number, since it is smaller than the sum of its proper divisors (7539720).

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

3243000 is a wasteful number, since it uses less digits than its factorization.

3243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3243000 is about 1800.8331405214. The cubic root of 3243000 is about 148.0183809652.

Adding to 3243000 its reverse (3423), we get a palindrome (3246423).

It can be divided in two parts, 3 and 243000, that multiplied together give a cube (729000 = 903).

The spelling of 3243000 in words is "three million, two hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 47 50 60 69 75 92 94 100 115 120 125 138 141 150 184 188 200 230 235 250 276 282 300 345 375 376 460 470 500 552 564 575 600 690 705 750 920 940 1000 1081 1128 1150 1175 1380 1410 1500 1725 1880 2162 2300 2350 2760 2820 2875 3000 3243 3450 3525 4324 4600 4700 5405 5640 5750 5875 6486 6900 7050 8625 8648 9400 10810 11500 11750 12972 13800 14100 16215 17250 17625 21620 23000 23500 25944 27025 28200 32430 34500 35250 43240 47000 54050 64860 69000 70500 81075 108100 129720 135125 141000 162150 216200 270250 324300 405375 540500 648600 810750 1081000 1621500 3243000