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240065376 = 2535934217
BaseRepresentation
bin11100100111100…
…01101101100000
3121201201120210020
432103301231200
5442424043001
635453233440
75643344025
oct1623615540
9551646706
10240065376
11113568741
1268492880
133a974825
1423c5154c
1516120736
hexe4f1b60

240065376 has 48 divisors (see below), whose sum is σ = 631383984. Its totient is φ = 79867904.

The previous prime is 240065351. The next prime is 240065383. The reversal of 240065376 is 673560042.

240065376 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54820 + ... + 59036.

It is an arithmetic number, because the mean of its divisors is an integer number (13153833).

Almost surely, 2240065376 is an apocalyptic number.

240065376 is the 12651-st pentagonal number.

It is an amenable number.

240065376 is an abundant number, since it is smaller than the sum of its proper divisors (391318608).

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

240065376 is a wasteful number, since it uses less digits than its factorization.

240065376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4823 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 240065376 is about 15494.0432424852. The cubic root of 240065376 is about 621.5029234103.

It can be divided in two parts, 2400 and 65376, that added together give a palindrome (67776).

The spelling of 240065376 in words is "two hundred forty million, sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 593 1186 1779 2372 3558 4217 4744 7116 8434 9488 12651 14232 16868 18976 25302 28464 33736 50604 56928 67472 101208 134944 202416 404832 2500681 5001362 7502043 10002724 15004086 20005448 30008172 40010896 60016344 80021792 120032688 240065376