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240245424 = 243219277317
BaseRepresentation
bin11100101000111…
…01101010110000
3121202001201202200
432110131222300
5443000323144
635501143200
75645023656
oct1624355260
9552051680
10240245424
11113680a41
126855ab00
133aa08773
1423c9add6
1516158c69
hexe51dab0

240245424 has 120 divisors (see below), whose sum is σ = 712536240. Its totient is φ = 75354624.

The previous prime is 240245407. The next prime is 240245431. The reversal of 240245424 is 424542042.

240245424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757714 + ... + 758030.

It is an arithmetic number, because the mean of its divisors is an integer number (5937802).

Almost surely, 2240245424 is an apocalyptic number.

240245424 is a gapful number since it is divisible by the number (24) 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 240245424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356268120).

240245424 is an abundant number, since it is smaller than the sum of its proper divisors (472290816).

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

240245424 is a wasteful number, since it uses less digits than its factorization.

240245424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 240245424 is about 15499.8523863939. The cubic root of 240245424 is about 621.6582594232.

Adding to 240245424 its reverse (424542042), we get a palindrome (664787466).

The spelling of 240245424 in words is "two hundred forty million, two hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 277 304 317 342 456 554 634 684 831 912 951 1108 1268 1368 1662 1902 2216 2493 2536 2736 2853 3324 3804 4432 4986 5072 5263 5706 6023 6648 7608 9972 10526 11412 12046 13296 15216 15789 18069 19944 21052 22824 24092 31578 36138 39888 42104 45648 47367 48184 54207 63156 72276 84208 87809 94734 96368 108414 126312 144552 175618 189468 216828 252624 263427 289104 351236 378936 433656 526854 702472 757872 790281 867312 1053708 1404944 1580562 1668371 2107416 3161124 3336742 4214832 5005113 6322248 6673484 10010226 12644496 13346968 15015339 20020452 26693936 30030678 40040904 60061356 80081808 120122712 240245424