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240382395 = 325111961419
BaseRepresentation
bin11100101001111…
…11000110111011
3121202022200122200
432110333012323
5443014214040
635504121243
75646134211
oct1624770673
9552280580
10240382395
11113764940
1268606223
133aa55c06
1423cd4cb1
1516184630
hexe53f1bb

240382395 has 96 divisors (see below), whose sum is σ = 487468800. Its totient is φ = 108345600.

The previous prime is 240382381. The next prime is 240382403. The reversal of 240382395 is 593283042.

240382395 is a `hidden beast` number, since 240 + 382 + 39 + 5 = 666.

It is not a de Polignac number, because 240382395 - 24 = 240382379 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 573496 + ... + 573914.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2240382395 is an apocalyptic number.

240382395 is an abundant number, since it is smaller than the sum of its proper divisors (247086405).

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

240382395 is a wasteful number, since it uses less digits than its factorization.

240382395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 240382395 is about 15504.2702182334. The cubic root of 240382395 is about 621.7763788795.

The spelling of 240382395 in words is "two hundred forty million, three hundred eighty-two thousand, three hundred ninety-five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 61 95 99 165 171 183 209 285 305 419 495 549 627 671 855 915 1045 1159 1257 1881 2013 2095 2745 3135 3355 3477 3771 4609 5795 6039 6285 7961 9405 10065 10431 12749 13827 17385 18855 23045 23883 25559 30195 38247 39805 41481 52155 63745 69135 71649 76677 87571 114741 119415 127795 191235 207405 230031 262713 281149 358245 383385 437855 485621 573705 788139 843447 1150155 1313565 1405745 1456863 2428105 2530341 3940695 4217235 4370589 5341831 7284315 12651705 16025493 21852945 26709155 48076479 80127465 240382395