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240942208 = 2713294993
BaseRepresentation
bin11100101110001…
…11110010000000
3121210101010120111
432113013302000
5443140122313
635524121104
75653655263
oct1627076200
9553333514
10240942208
111140074a1
1268836194
133abc0970
1423ddccda
151624543d
hexe5c7c80

240942208 has 64 divisors (see below), whose sum is σ = 534857400. Its totient is φ = 107347968.

The previous prime is 240942203. The next prime is 240942209. The reversal of 240942208 is 802249042.

It can be written as a sum of positive squares in 4 ways, for example, as 151979584 + 88962624 = 12328^2 + 9432^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 240942208.

It is not an unprimeable number, because it can be changed into a prime (240942203) 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 7 ways as a sum of consecutive naturals, for example, 45760 + ... + 50752.

Almost surely, 2240942208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240942208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267428700).

240942208 is an abundant number, since it is smaller than the sum of its proper divisors (293915192).

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

240942208 is a wasteful number, since it uses less digits than its factorization.

240942208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 240942208 is about 15522.3132296704. The cubic root of 240942208 is about 622.2586779850.

The spelling of 240942208 in words is "two hundred forty million, nine hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 377 416 464 754 832 928 1508 1664 1856 3016 3712 4993 6032 9986 12064 19972 24128 39944 48256 64909 79888 129818 144797 159776 259636 289594 319552 519272 579188 639104 1038544 1158376 1882361 2077088 2316752 3764722 4154176 4633504 7529444 8308352 9267008 15058888 18534016 30117776 60235552 120471104 240942208