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240879042 = 23347107887
BaseRepresentation
bin11100101101110…
…00010111000010
3121210020220221000
432112320113002
5443131112132
635522512430
75653303155
oct1626702702
9553226830
10240879042
11113a73a98
1268805716
133ab9aca1
1423dc3c9c
151623187c
hexe5b85c2

240879042 has 64 divisors (see below), whose sum is σ = 552407040. Its totient is φ = 77762448.

The previous prime is 240879019. The next prime is 240879043. The reversal of 240879042 is 240978042.

240879042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240878988 and 240879006.

It is not an unprimeable number, because it can be changed into a prime (240879043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271123 + ... + 272009.

It is an arithmetic number, because the mean of its divisors is an integer number (8631360).

Almost surely, 2240879042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240879042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276203520).

240879042 is an abundant number, since it is smaller than the sum of its proper divisors (311527998).

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

240879042 is a wasteful number, since it uses less digits than its factorization.

240879042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 240879042 is about 15520.2784124512. The cubic root of 240879042 is about 622.2042956121.

The spelling of 240879042 in words is "two hundred forty million, eight hundred seventy-nine thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 107 141 214 282 321 423 642 846 887 963 1269 1774 1926 2538 2661 2889 5029 5322 5778 7983 10058 15087 15966 23949 30174 41689 45261 47898 83378 90522 94909 125067 135783 189818 250134 271566 284727 375201 569454 750402 854181 1125603 1708362 2251206 2562543 4460723 5125086 8921446 13382169 26764338 40146507 80293014 120439521 240879042