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40131344 = 24112191091
BaseRepresentation
bin1001100100010…
…1101100010000
32210111212212002
42121011230100
540233200334
63552053132
7665053001
oct231055420
983455762
1040131344
1120720300
12115341a8
138411576
1454891a8
1537cab7e
hex2645b10

40131344 has 60 divisors (see below), whose sum is σ = 90046320. Its totient is φ = 17265600.

The previous prime is 40131337. The next prime is 40131349. The reversal of 40131344 is 44313104.

It is a happy number.

It is a super-2 number, since 2×401313442 = 3221049542492672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40131349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36239 + ... + 37329.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 240131344 is an apocalyptic number.

40131344 is a gapful number since it is divisible by the number (44) 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 40131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45023160).

40131344 is an abundant number, since it is smaller than the sum of its proper divisors (49914976).

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

40131344 is a wasteful number, since it uses less digits than its factorization.

40131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 40131344 is about 6334.9304652853. The cubic root of 40131344 is about 342.3691055043.

Adding to 40131344 its reverse (44313104), we get a palindrome (84444448).

The spelling of 40131344 in words is "forty million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 418 484 836 968 1091 1672 1936 2182 2299 3344 4364 4598 8728 9196 12001 17456 18392 20729 24002 36784 41458 48004 82916 96008 132011 165832 192016 228019 264022 331664 456038 528044 912076 1056088 1824152 2112176 2508209 3648304 5016418 10032836 20065672 40131344