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243116640 = 2535513237
BaseRepresentation
bin11100111110110…
…10101001100000
3121221110121100000
432133122221200
5444214213030
640042500000
76011312604
oct1637325140
9557417300
10243116640
11115262148
1269504600
133b4a2600
1424407504
1516524860
hexe7daa60

243116640 has 432 divisors, whose sum is σ = 956814768. Its totient is φ = 58226688.

The previous prime is 243116617. The next prime is 243116641. The reversal of 243116640 is 46611342.

243116640 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243116641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6570702 + ... + 6570738.

It is an arithmetic number, because the mean of its divisors is an integer number (2214849).

Almost surely, 2243116640 is an apocalyptic number.

243116640 is a gapful number since it is divisible by the number (20) 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 243116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478407384).

243116640 is an abundant number, since it is smaller than the sum of its proper divisors (713698128).

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

243116640 is a wasteful number, since it uses less digits than its factorization.

243116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 243116640 is about 15592.1980490244. The cubic root of 243116640 is about 624.1249749683.

Adding to 243116640 its reverse (46611342), we get a palindrome (289727982).

The spelling of 243116640 in words is "two hundred forty-three million, one hundred sixteen thousand, six hundred forty".