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240420444 = 2231110391753
BaseRepresentation
bin11100101010010…
…00011001011100
3121202101121211220
432111020121130
5443021423234
635505013340
75646353145
oct1625103134
9552347756
10240420444
11113790490
1268624250
133aa6a324
1423d04acc
1516190a49
hexe54865c

240420444 has 48 divisors (see below), whose sum is σ = 612917760. Its totient is φ = 72743040.

The previous prime is 240420431. The next prime is 240420451. The reversal of 240420444 is 444024042.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 136272 + ... + 138024.

It is an arithmetic number, because the mean of its divisors is an integer number (12769120).

Almost surely, 2240420444 is an apocalyptic number.

It is an amenable number.

240420444 is an abundant number, since it is smaller than the sum of its proper divisors (372497316).

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

240420444 is a wasteful number, since it uses less digits than its factorization.

240420444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 240420444 is about 15505.4972187286. The cubic root of 240420444 is about 621.8091831694.

Adding to 240420444 its reverse (444024042), we get a palindrome (684444486).

The spelling of 240420444 in words is "two hundred forty million, four hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1039 1753 2078 3117 3506 4156 5259 6234 7012 10518 11429 12468 19283 21036 22858 34287 38566 45716 57849 68574 77132 115698 137148 231396 1821367 3642734 5464101 7285468 10928202 20035037 21856404 40070074 60105111 80140148 120210222 240420444