Search a number
-
+
40324200 = 2335279601
BaseRepresentation
bin1001100111010…
…0110001101000
32210212200101220
42121310301220
540310333300
64000142040
7666515160
oct231646150
983780356
1040324200
1120842194
1211607920
13847b297
1454d95a0
153817da0
hex2674c68

40324200 has 96 divisors (see below), whose sum is σ = 142877760. Its totient is φ = 9216000.

The previous prime is 40324189. The next prime is 40324201. The reversal of 40324200 is 242304.

It is a happy number.

It is a super-2 number, since 2×403242002 = 3252082211280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40324200.

It is not an unprimeable number, because it can be changed into a prime (40324201) 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, 601 + ... + 9000.

It is an arithmetic number, because the mean of its divisors is an integer number (1488310).

Almost surely, 240324200 is an apocalyptic number.

40324200 is a gapful number since it is divisible by the number (40) 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 40324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71438880).

40324200 is an abundant number, since it is smaller than the sum of its proper divisors (102553560).

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

40324200 is a wasteful number, since it uses less digits than its factorization.

40324200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9627 (or 9618 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 40324200 is about 6350.1338568569. The cubic root of 40324200 is about 342.9166612943.

Adding to 40324200 its reverse (242304), we get a palindrome (40566504).

The spelling of 40324200 in words is "forty million, three hundred twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 9601 19202 28803 38404 48005 57606 67207 76808 96010 115212 134414 144015 192020 201621 230424 240025 268828 288030 336035 384040 403242 480050 537656 576060 672070 720075 806484 960100 1008105 1152120 1344140 1440150 1612968 1680175 1920200 2016210 2688280 2880300 3360350 4032420 5040525 5760600 6720700 8064840 10081050 13441400 20162100 40324200