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240313024 = 2672953349
BaseRepresentation
bin11100101001011…
…10001011000000
3121202012011111101
432110232023000
5443010004044
635502424144
75645425030
oct1624561300
9552164441
10240313024
11113717806
1268592054
133aa30473
1423cb78c0
151616dcd4
hexe52e2c0

240313024 has 112 divisors (see below), whose sum is σ = 576072000. Its totient is φ = 97284096.

The previous prime is 240313001. The next prime is 240313043. The reversal of 240313024 is 420313042.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 240312992 and 240313010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688402 + ... + 688750.

It is an arithmetic number, because the mean of its divisors is an integer number (5143500).

Almost surely, 2240313024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288036000).

240313024 is an abundant number, since it is smaller than the sum of its proper divisors (335758976).

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

240313024 is a wasteful number, since it uses less digits than its factorization.

240313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 240313024 is about 15502.0328989459. The cubic root of 240313024 is about 621.7165611336.

Adding to 240313024 its reverse (420313042), we get a palindrome (660626066).

The spelling of 240313024 in words is "two hundred forty million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 53 56 58 64 106 112 116 203 212 224 232 349 371 406 424 448 464 698 742 812 848 928 1396 1484 1537 1624 1696 1856 2443 2792 2968 3074 3248 3392 4886 5584 5936 6148 6496 9772 10121 10759 11168 11872 12296 12992 18497 19544 20242 21518 22336 23744 24592 36994 39088 40484 43036 49184 70847 73988 78176 80968 86072 98368 129479 141694 147976 156352 161936 172144 258958 283388 295952 323872 344288 517916 536413 566776 591904 647744 688576 1035832 1072826 1133552 1183808 2071664 2145652 2267104 3754891 4143328 4291304 4534208 7509782 8286656 8582608 15019564 17165216 30039128 34330432 60078256 120156512 240313024