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40312080 = 243456221
BaseRepresentation
bin1001100111000…
…1110100010000
32210212001210000
42121301310100
540304441310
64000010000
7666434634
oct231616420
983761700
1040312080
1120834076
1211600900
138475903
1454d4dc4
1538144c0
hex2671d10

40312080 has 100 divisors (see below), whose sum is σ = 140032332. Its totient is φ = 10748160.

The previous prime is 40312079. The next prime is 40312081. The reversal of 40312080 is 8021304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40312079) and next prime (40312081).

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 33593616 = 2592^2 + 5796^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40312081) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3370 + ... + 9590.

Almost surely, 240312080 is an apocalyptic number.

40312080 is a gapful number since it is divisible by the number (40) 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 40312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70016166).

40312080 is an abundant number, since it is smaller than the sum of its proper divisors (99720252).

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

40312080 is a wasteful number, since it uses less digits than its factorization.

40312080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6246 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40312080 is about 6349.1794745463. The cubic root of 40312080 is about 342.8823017252.

Adding to 40312080 its reverse (8021304), we get a palindrome (48333384).

The spelling of 40312080 in words is "forty million, three hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6221 6480 12442 18663 24884 31105 37326 49768 55989 62210 74652 93315 99536 111978 124420 149304 167967 186630 223956 248840 279945 298608 335934 373260 447912 497680 503901 559890 671868 746520 839835 895824 1007802 1119780 1343736 1493040 1679670 2015604 2239560 2519505 2687472 3359340 4031208 4479120 5039010 6718680 8062416 10078020 13437360 20156040 40312080