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40323040 = 2551511669
BaseRepresentation
bin1001100111010…
…0011111100000
32210212121210221
42121310133200
540310314130
64000132424
7666511612
oct231643740
983777727
1040323040
112084132a
1211607114
13847a8b4
1454d8db2
15381787a
hex26747e0

40323040 has 48 divisors (see below), whose sum is σ = 95951520. Its totient is φ = 16012800.

The previous prime is 40323029. The next prime is 40323047. The reversal of 40323040 is 4032304.

40323040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40323047) 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 7 ways as a sum of consecutive naturals, for example, 23326 + ... + 24994.

It is an arithmetic number, because the mean of its divisors is an integer number (1998990).

Almost surely, 240323040 is an apocalyptic number.

40323040 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 40323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47975760).

40323040 is an abundant number, since it is smaller than the sum of its proper divisors (55628480).

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

40323040 is a wasteful number, since it uses less digits than its factorization.

40323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 40323040 is about 6350.0425195427. The cubic root of 40323040 is about 342.9133730526.

Adding to 40323040 its reverse (4032304), we get a palindrome (44355344).

The spelling of 40323040 in words is "forty million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 302 604 755 1208 1510 1669 2416 3020 3338 4832 6040 6676 8345 12080 13352 16690 24160 26704 33380 53408 66760 133520 252019 267040 504038 1008076 1260095 2016152 2520190 4032304 5040380 8064608 10080760 20161520 40323040