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40033340 = 22523293001
BaseRepresentation
bin1001100010110…
…1110000111100
32210022220102022
42120231300330
540222031330
63550015312
7664164164
oct230556074
983286368
1040033340
1120663706
12114a7538
1383a8a89
1454615a4
1537abae5
hex262dc3c

40033340 has 48 divisors (see below), whose sum is σ = 90780480. Its totient is φ = 14784000.

The previous prime is 40033339. The next prime is 40033349. The reversal of 40033340 is 4333004.

40033340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40033349) 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, 11840 + ... + 14840.

It is an arithmetic number, because the mean of its divisors is an integer number (1891260).

Almost surely, 240033340 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 40033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45390240).

40033340 is an abundant number, since it is smaller than the sum of its proper divisors (50747140).

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

40033340 is a wasteful number, since it uses less digits than its factorization.

40033340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 40033340 is about 6327.1905297691. The cubic root of 40033340 is about 342.0901806119.

Adding to 40033340 its reverse (4333004), we get a palindrome (44366344).

The spelling of 40033340 in words is "forty million, thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3001 3335 6002 6670 12004 13340 15005 30010 60020 69023 87029 138046 174058 276092 345115 348116 435145 690230 870290 1380460 1740580 2001667 4003334 8006668 10008335 20016670 40033340