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40430440 = 2356771493
BaseRepresentation
bin1001101000111…
…0101101101000
32211002002010201
42122032231220
540322233230
64002321544
71000440001
oct232165550
984062121
1040430440
1120904a96
12116592b4
1384b774b
1455261a8
1538395ca
hex268eb68

40430440 has 32 divisors (see below), whose sum is σ = 91163880. Its totient is φ = 16137472.

The previous prime is 40430419. The next prime is 40430447. The reversal of 40430440 is 4403404.

40430440 is nontrivially palindromic in base 7.

40430440 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 4 ways, for example, as 40018276 + 412164 = 6326^2 + 642^2 .

It is not an unprimeable number, because it can be changed into a prime (40430447) 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, 26334 + ... + 27826.

Almost surely, 240430440 is an apocalyptic number.

40430440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40430440 is an abundant number, since it is smaller than the sum of its proper divisors (50733440).

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

40430440 is a wasteful number, since it uses less digits than its factorization.

40430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 40430440 is about 6358.4935322763. The cubic root of 40430440 is about 343.2175518940.

Adding to 40430440 its reverse (4403404), we get a palindrome (44833844).

The spelling of 40430440 in words is "forty million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 677 1354 1493 2708 2986 3385 5416 5972 6770 7465 11944 13540 14930 27080 29860 59720 1010761 2021522 4043044 5053805 8086088 10107610 20215220 40430440