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40334640 = 2435237307
BaseRepresentation
bin1001100111011…
…1010100110000
32210220012201120
42121313110300
540311202030
64000302240
7666560463
oct231672460
983805646
1040334640
112084a015
1211611980
138482c68
1454dd2da
15381b010
hex2677530

40334640 has 80 divisors (see below), whose sum is σ = 130491648. Its totient is φ = 10286848.

The previous prime is 40334639. The next prime is 40334641. The reversal of 40334640 is 4643304.

40334640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40334639) and next prime (40334641).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40334640.

It is not an unprimeable number, because it can be changed into a prime (40334641) 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 15 ways as a sum of consecutive naturals, for example, 1867 + ... + 9173.

Almost surely, 240334640 is an apocalyptic number.

40334640 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 40334640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65245824).

40334640 is an abundant number, since it is smaller than the sum of its proper divisors (90157008).

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

40334640 is a wasteful number, since it uses less digits than its factorization.

40334640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7346 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 40334640 is about 6350.9558335734. The cubic root of 40334640 is about 342.9462526317.

Adding to 40334640 its reverse (4643304), we get a palindrome (44977944).

The spelling of 40334640 in words is "forty million, three hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 7307 14614 21921 29228 36535 43842 58456 73070 87684 109605 116912 146140 168061 175368 219210 292280 336122 350736 438420 504183 584560 672244 840305 876840 1008366 1344488 1680610 1753680 2016732 2520915 2688976 3361220 4033464 5041830 6722440 8066928 10083660 13444880 20167320 40334640