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240400040 = 23531193871
BaseRepresentation
bin11100101010000…
…11011010101000
3121202100120212012
432111003122220
5443020300130
635504335052
75646236516
oct1625033250
9552316765
10240400040
11113777121
1268614488
133aa60c5a
1423cdb4b6
1516189995
hexe5436a8

240400040 has 32 divisors (see below), whose sum is σ = 558351360. Its totient is φ = 93057600.

The previous prime is 240400033. The next prime is 240400051. The reversal of 240400040 is 40004042.

It is a junction number, because it is equal to n+sod(n) for n = 240399988 and 240400024.

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 7 ways as a sum of consecutive naturals, for example, 95696 + ... + 98175.

It is an arithmetic number, because the mean of its divisors is an integer number (17448480).

Almost surely, 2240400040 is an apocalyptic number.

240400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240400040 is an abundant number, since it is smaller than the sum of its proper divisors (317951320).

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

240400040 is a wasteful number, since it uses less digits than its factorization.

240400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193913 (or 193909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 240400040 is about 15504.8392445714. The cubic root of 240400040 is about 621.7915921064.

Adding to 240400040 its reverse (40004042), we get a palindrome (280404082).

The spelling of 240400040 in words is "two hundred forty million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 193871 387742 775484 969355 1550968 1938710 3877420 6010001 7754840 12020002 24040004 30050005 48080008 60100010 120200020 240400040