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40331312 = 24737349
BaseRepresentation
bin1001100111011…
…0100000110000
32210220001011022
42121312200300
540311100222
64000235012
7666545000
oct231664060
983801138
1040331312
112084756a
121160ba68
1384815a8
1454dc000
15381a042
hex2676830

40331312 has 40 divisors (see below), whose sum is σ = 91140000. Its totient is φ = 17282496.

The previous prime is 40331297. The next prime is 40331323. The reversal of 40331312 is 21313304.

It is a happy number.

It is a super-2 number, since 2×403313122 = 3253229455282688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1814 + ... + 9162.

It is an arithmetic number, because the mean of its divisors is an integer number (2278500).

Almost surely, 240331312 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 40331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45570000).

40331312 is an abundant number, since it is smaller than the sum of its proper divisors (50808688).

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

40331312 is an equidigital number, since it uses as much as digits as its factorization.

40331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 40331312 is about 6350.6938203633. The cubic root of 40331312 is about 342.9368202388.

Adding to 40331312 its reverse (21313304), we get a palindrome (61644616).

The spelling of 40331312 in words is "forty million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 7349 14698 29396 51443 58792 102886 117584 205772 360101 411544 720202 823088 1440404 2520707 2880808 5041414 5761616 10082828 20165656 40331312