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240423444 = 22338326821
BaseRepresentation
bin11100101010010…
…01001000010100
3121202101202222000
432111021020110
5443022022234
635505035300
75646364662
oct1625111024
9552352860
10240423444
11113792768
1268625b30
133aa6b7c1
1423d05c32
1516191899
hexe549214

240423444 has 48 divisors (see below), whose sum is σ = 630853440. Its totient is φ = 79172640.

The previous prime is 240423431. The next prime is 240423481. The reversal of 240423444 is 444324042.

It is a happy number.

It is a super-3 number, since 3×2404234443 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4447 + ... + 22374.

It is an arithmetic number, because the mean of its divisors is an integer number (13142780).

Almost surely, 2240423444 is an apocalyptic number.

It is an amenable number.

240423444 is an abundant number, since it is smaller than the sum of its proper divisors (390429996).

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

240423444 is a wasteful number, since it uses less digits than its factorization.

240423444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26917 (or 26909 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 240423444 is about 15505.5939583107. The cubic root of 240423444 is about 621.8117694993.

Adding to 240423444 its reverse (444324042), we get a palindrome (684747486).

The spelling of 240423444 in words is "two hundred forty million, four hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 8964 26821 53642 80463 107284 160926 241389 321852 482778 724167 965556 1448334 2226143 2896668 4452286 6678429 8904572 13356858 20035287 26713716 40070574 60105861 80141148 120211722 240423444