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40431312 = 243510399
BaseRepresentation
bin1001101000111…
…0111011010000
32211002010100000
42122032323100
540322300222
64002330000
71000442355
oct232167320
984063300
1040431312
1120905709
1211659900
1384b7c6c
14552662c
1538399ac
hex268eed0

40431312 has 60 divisors (see below), whose sum is σ = 117353600. Its totient is φ = 13475808.

The previous prime is 40431283. The next prime is 40431317. The reversal of 40431312 is 21313404.

40431312 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40431317) 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 11 ways as a sum of consecutive naturals, for example, 1312 + ... + 9087.

Almost surely, 240431312 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 40431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58676800).

40431312 is an abundant number, since it is smaller than the sum of its proper divisors (76922288).

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

40431312 is a wasteful number, since it uses less digits than its factorization.

40431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10422 (or 10404 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40431312 is about 6358.5621016076. The cubic root of 40431312 is about 343.2200193711.

Adding to 40431312 its reverse (21313404), we get a palindrome (61744716).

The spelling of 40431312 in words is "forty million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 10399 20798 31197 41596 62394 83192 93591 124788 166384 187182 249576 280773 374364 499152 561546 748728 842319 1123092 1497456 1684638 2246184 2526957 3369276 4492368 5053914 6738552 10107828 13477104 20215656 40431312