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240442398 = 23371374643
BaseRepresentation
bin11100101010011…
…01110000011110
3121202102201222000
432111031300132
5443023124043
635505303130
75646504150
oct1625156036
9552381860
10240442398
111137a5a29
1268634aa6
133aa77311
1423d0cad0
15161972d3
hexe54dc1e

240442398 has 64 divisors (see below), whose sum is σ = 615237120. Its totient is φ = 68181696.

The previous prime is 240442379. The next prime is 240442399. The reversal of 240442398 is 893244042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240442399) 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, 49465 + ... + 54107.

It is an arithmetic number, because the mean of its divisors is an integer number (9613080).

Almost surely, 2240442398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240442398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307618560).

240442398 is an abundant number, since it is smaller than the sum of its proper divisors (374794722).

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

240442398 is a wasteful number, since it uses less digits than its factorization.

240442398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 240442398 is about 15506.2051450379. The cubic root of 240442398 is about 621.8281094347.

The spelling of 240442398 in words is "two hundred forty million, four hundred forty-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 137 189 274 378 411 822 959 1233 1918 2466 2877 3699 4643 5754 7398 8631 9286 13929 17262 25893 27858 32501 41787 51786 65002 83574 97503 125361 195006 250722 292509 585018 636091 877527 1272182 1755054 1908273 3816546 4452637 5724819 8905274 11449638 13357911 17174457 26715822 34348914 40073733 80147466 120221199 240442398