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240450012 = 223311316529
BaseRepresentation
bin11100101010011…
…11100111011100
3121202110010102000
432111033213130
5443023400022
635505402300
75646535305
oct1625174734
9552403360
10240450012
11113800720
1268639390
133aa7a91a
1423d117ac
15161996ac
hexe54f9dc

240450012 has 96 divisors (see below), whose sum is σ = 702105600. Its totient is φ = 70502400.

The previous prime is 240450011. The next prime is 240450017. The reversal of 240450012 is 210054042.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240450011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33564 + ... + 40092.

It is an arithmetic number, because the mean of its divisors is an integer number (7313600).

Almost surely, 2240450012 is an apocalyptic number.

240450012 is a gapful number since it is divisible by the number (22) 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 240450012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351052800).

240450012 is an abundant number, since it is smaller than the sum of its proper divisors (461655588).

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

240450012 is a wasteful number, since it uses less digits than its factorization.

240450012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 240450012 is about 15506.4506577102. The cubic root of 240450012 is about 621.8346730985.

The spelling of 240450012 in words is "two hundred forty million, four hundred fifty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 6529 9207 12276 13058 18414 19587 26116 36828 39174 58761 71819 78348 117522 143638 176283 202399 215457 235044 287276 352566 404798 430914 607197 646371 705132 809596 861828 1214394 1292742 1821591 1939113 2226389 2428788 2585484 3643182 3878226 4452778 5464773 6679167 7286364 7756452 8905556 10929546 13358334 20037501 21859092 26716668 40075002 60112503 80150004 120225006 240450012