[go: up one dir, main page]

Search a number
-
+
3245000 = 23541159
BaseRepresentation
bin1100011000001111001000
320002212022012
430120033020
51312320000
6153315052
736403433
oct14301710
96085265
103245000
111917020
121105a88
13898025
1460681a
15441735
hex3183c8

3245000 has 80 divisors (see below), whose sum is σ = 8434800. Its totient is φ = 1160000.

The previous prime is 3244981. The next prime is 3245003. The reversal of 3245000 is 5423.

It is not an unprimeable number, because it can be changed into a prime (3245003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54971 + ... + 55029.

It is an arithmetic number, because the mean of its divisors is an integer number (105435).

Almost surely, 23245000 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 3245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217400).

3245000 is an abundant number, since it is smaller than the sum of its proper divisors (5189800).

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

3245000 is a wasteful number, since it uses less digits than its factorization.

3245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 3245000 is about 1801.3883534652. The cubic root of 3245000 is about 148.0488029948.

It can be divided in two parts, 32 and 45000, that multiplied together give a square (1440000 = 12002).

The spelling of 3245000 in words is "three million, two hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 59 88 100 110 118 125 200 220 236 250 275 295 440 472 500 550 590 625 649 1000 1100 1180 1250 1298 1375 1475 2200 2360 2500 2596 2750 2950 3245 5000 5192 5500 5900 6490 6875 7375 11000 11800 12980 13750 14750 16225 25960 27500 29500 32450 36875 55000 59000 64900 73750 81125 129800 147500 162250 295000 324500 405625 649000 811250 1622500 3245000