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40344101 = 72823349
BaseRepresentation
bin1001100111100…
…1101000100101
32210220200200222
42121321220211
540312002401
64000414125
7666630200
oct231715045
983820628
1040344101
1120856136
1211617345
138487365
145502937
15381dc1b
hex2679a25

40344101 has 6 divisors (see below), whose sum is σ = 46930950. Its totient is φ = 34580616.

The previous prime is 40344091. The next prime is 40344103. The reversal of 40344101 is 10144304.

40344101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 27196225 + 13147876 = 5215^2 + 3626^2 .

It is not a de Polignac number, because 40344101 - 26 = 40344037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40344101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40344103) 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 5 ways as a sum of consecutive naturals, for example, 411626 + ... + 411723.

It is an arithmetic number, because the mean of its divisors is an integer number (7821825).

Almost surely, 240344101 is an apocalyptic number.

It is an amenable number.

40344101 is a deficient number, since it is larger than the sum of its proper divisors (6586849).

40344101 is an equidigital number, since it uses as much as digits as its factorization.

40344101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823363 (or 823356 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 40344101 is about 6351.7006384117. The cubic root of 40344101 is about 342.9730646626.

Adding to 40344101 its reverse (10144304), we get a palindrome (50488405).

The spelling of 40344101 in words is "forty million, three hundred forty-four thousand, one hundred one".

Divisors: 1 7 49 823349 5763443 40344101