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240523668 = 223471131311
BaseRepresentation
bin11100101011000…
…01100110010100
3121202120212110000
432111201212110
5443033224133
635511131300
75650263120
oct1625414624
9552525400
10240523668
11113850aa0
1268673b30
133aaa52c8
1423d30580
15161b1413
hexe561994

240523668 has 240 divisors, whose sum is σ = 811819008. Its totient is φ = 60264000.

The previous prime is 240523663. The next prime is 240523669. The reversal of 240523668 is 866325042.

240523668 is a `hidden beast` number, since 240 + 52 + 366 + 8 = 666.

240523668 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 not an unprimeable number, because it can be changed into a prime (240523663) 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 79 ways as a sum of consecutive naturals, for example, 773233 + ... + 773543.

Almost surely, 2240523668 is an apocalyptic number.

240523668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240523668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405909504).

240523668 is an abundant number, since it is smaller than the sum of its proper divisors (571295340).

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

240523668 is a wasteful number, since it uses less digits than its factorization.

240523668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 240523668 is about 15508.8254874442. The cubic root of 240523668 is about 621.8981612478.

The spelling of 240523668 in words is "two hundred forty million, five hundred twenty-three thousand, six hundred sixty-eight".