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240313896 = 233231710529
BaseRepresentation
bin11100101001011…
…10011000101000
3121202012012200200
432110232120220
5443010021041
635502432200
75645430414
oct1624563050
9552165620
10240313896
11113718429
1268592660
133aa30994
1423cb7d44
151616e1b6
hexe52e628

240313896 has 48 divisors (see below), whose sum is σ = 652965300. Its totient is φ = 79844352.

The previous prime is 240313861. The next prime is 240313897. The reversal of 240313896 is 698313042.

240313896 is a `hidden beast` number, since 240 + 31 + 389 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 237591396 + 2722500 = 15414^2 + 1650^2 .

It is a super-2 number, since 2×2403138962 = 115501537221397632, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 240313896.

It is not an unprimeable number, because it can be changed into a prime (240313897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17560 + ... + 28088.

Almost surely, 2240313896 is an apocalyptic number.

It is an amenable number.

240313896 is an abundant number, since it is smaller than the sum of its proper divisors (412651404).

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

240313896 is a wasteful number, since it uses less digits than its factorization.

240313896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10858 (or 10851 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 240313896 is about 15502.0610242638. The cubic root of 240313896 is about 621.7173131197.

The spelling of 240313896 in words is "two hundred forty million, three hundred thirteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 317 634 951 1268 1902 2536 2853 3804 5706 7608 10529 11412 21058 22824 31587 42116 63174 84232 94761 126348 189522 252696 379044 758088 3337693 6675386 10013079 13350772 20026158 26701544 30039237 40052316 60078474 80104632 120156948 240313896