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40340400 = 2435233617
BaseRepresentation
bin1001100111100…
…0101110110000
32210220111121220
42121320232300
540311343100
64000345040
7666613332
oct231705660
983814556
1040340400
1120853381
1211615180
138485779
145501452
15381caa0
hex2678bb0

40340400 has 60 divisors (see below), whose sum is σ = 129227592. Its totient is φ = 10757120.

The previous prime is 40340387. The next prime is 40340437. The reversal of 40340400 is 404304.

40340400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40340400.

It is an unprimeable number.

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, 15609 + ... + 18008.

Almost surely, 240340400 is an apocalyptic number.

40340400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40340400 is an abundant number, since it is smaller than the sum of its proper divisors (88887192).

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

40340400 is a wasteful number, since it uses less digits than its factorization.

40340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33638 (or 33627 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 40340400 is about 6351.4092924327. The cubic root of 40340400 is about 342.9625767011.

Adding to 40340400 its reverse (404304), we get a palindrome (40744704).

The spelling of 40340400 in words is "forty million, three hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 33617 67234 100851 134468 168085 201702 268936 336170 403404 504255 537872 672340 806808 840425 1008510 1344680 1613616 1680850 2017020 2521275 2689360 3361700 4034040 5042550 6723400 8068080 10085100 13446800 20170200 40340400