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240666426 = 2327111319237
BaseRepresentation
bin11100101100001…
…00011100111010
3121202212010021100
432112010130322
5443102311201
635514152230
75651426250
oct1626043472
9552763240
10240666426
11113939280
1268722676
133ab25290
1423d6a5d0
15161dd886
hexe58473a

240666426 has 288 divisors, whose sum is σ = 758878848. Its totient is φ = 53187840.

The previous prime is 240666379. The next prime is 240666431. The reversal of 240666426 is 624666042.

240666426 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2406664263 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6504480 + ... + 6504516.

It is an arithmetic number, because the mean of its divisors is an integer number (2634996).

Almost surely, 2240666426 is an apocalyptic number.

240666426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 240666426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379439424).

240666426 is an abundant number, since it is smaller than the sum of its proper divisors (518212422).

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

240666426 is a wasteful number, since it uses less digits than its factorization.

240666426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 240666426 is about 15513.4272809073. The cubic root of 240666426 is about 622.0211753077.

It can be divided in two parts, 240 and 666426, that added together give a palindrome (666666).

The spelling of 240666426 in words is "two hundred forty million, six hundred sixty-six thousand, four hundred twenty-six".