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240076368 = 24327238171
BaseRepresentation
bin11100100111101…
…00011001010000
3121201202010212100
432103310121100
5442424420433
635453400400
75643421050
oct1623643120
9551663770
10240076368
11113575a24
1268499100
133a97982c
1423c55560
1516123b13
hexe4f4650

240076368 has 60 divisors (see below), whose sum is σ = 767866528. Its totient is φ = 68592960.

The previous prime is 240076303. The next prime is 240076427. The reversal of 240076368 is 863670042.

240076368 is digitally balanced in base 3, 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 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, 118078 + ... + 120093.

Almost surely, 2240076368 is an apocalyptic number.

240076368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

240076368 is an abundant number, since it is smaller than the sum of its proper divisors (527790160).

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

240076368 is a wasteful number, since it uses less digits than its factorization.

240076368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238192 (or 238183 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 240076368 is about 15494.3979553902. The cubic root of 240076368 is about 621.5124089595.

The spelling of 240076368 in words is "two hundred forty million, seventy-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 238171 476342 714513 952684 1429026 1667197 1905368 2143539 2858052 3334394 3810736 4287078 5001591 5716104 6668788 8574156 10003182 11432208 13337576 15004773 17148312 20006364 26675152 30009546 34296624 40012728 60019092 80025456 120038184 240076368