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240795216 = 24324793491
BaseRepresentation
bin11100101101000…
…11111001010000
3121210002122221100
432112203321100
5443120421331
635521024400
75652503604
oct1626437120
9553078840
10240795216
11113a17012
1268785100
133ab6ba9c
1423da1504
1516216ae6
hexe5a3e50

240795216 has 60 divisors (see below), whose sum is σ = 675492480. Its totient is φ = 80074560.

The previous prime is 240795199. The next prime is 240795221. The reversal of 240795216 is 612597042.

240795216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67231 + ... + 70721.

It is an arithmetic number, because the mean of its divisors is an integer number (11258208).

Almost surely, 2240795216 is an apocalyptic number.

It is an amenable number.

240795216 is an abundant number, since it is smaller than the sum of its proper divisors (434697264).

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

240795216 is a wasteful number, since it uses less digits than its factorization.

240795216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 240795216 is about 15517.5776460116. The cubic root of 240795216 is about 622.1321114594.

The spelling of 240795216 in words is "two hundred forty million, seven hundred ninety-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 479 958 1437 1916 2874 3491 3832 4311 5748 6982 7664 8622 10473 11496 13964 17244 20946 22992 27928 31419 34488 41892 55856 62838 68976 83784 125676 167568 251352 502704 1672189 3344378 5016567 6688756 10033134 13377512 15049701 20066268 26755024 30099402 40132536 60198804 80265072 120397608 240795216