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40330040 = 2352359743
BaseRepresentation
bin1001100111011…
…0001100111000
32210212222102012
42121312030320
540311030130
64000225052
7666541202
oct231661470
983788365
1040330040
1120846613
121160b188
138480b3a
1454db772
153819995
hex2676338

40330040 has 64 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 15148672.

The previous prime is 40330013. The next prime is 40330049. The reversal of 40330040 is 4003304.

40330040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40329997 and 40330024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40330049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53909 + ... + 54651.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 240330040 is an apocalyptic number.

40330040 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 40330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

40330040 is an abundant number, since it is smaller than the sum of its proper divisors (56092360).

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

40330040 is a wasteful number, since it uses less digits than its factorization.

40330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 40330040 is about 6350.5936730356. The cubic root of 40330040 is about 342.9332149323.

Adding to 40330040 its reverse (4003304), we get a palindrome (44333344).

The spelling of 40330040 in words is "forty million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 92 115 118 184 230 236 295 460 472 590 743 920 1180 1357 1486 2360 2714 2972 3715 5428 5944 6785 7430 10856 13570 14860 17089 27140 29720 34178 43837 54280 68356 85445 87674 136712 170890 175348 219185 341780 350696 438370 683560 876740 1008251 1753480 2016502 4033004 5041255 8066008 10082510 20165020 40330040