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243161664 = 2632814507
BaseRepresentation
bin11100111111001…
…01101001000000
3121221112220002120
432133211221000
5444222133124
640043444240
76011561064
oct1637455100
9557486076
10243161664
11115292a59
1269526680
133b4b9c55
1424419aa4
1516532d79
hexe7e5a40

243161664 has 56 divisors (see below), whose sum is σ = 645798048. Its totient is φ = 80747520.

The previous prime is 243161657. The next prime is 243161683. The reversal of 243161664 is 466161342.

243161664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51699 + ... + 56205.

It is an arithmetic number, because the mean of its divisors is an integer number (11532108).

Almost surely, 2243161664 is an apocalyptic number.

243161664 is a gapful number since it is divisible by the number (24) 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 243161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322899024).

243161664 is an abundant number, since it is smaller than the sum of its proper divisors (402636384).

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

243161664 is a wasteful number, since it uses less digits than its factorization.

243161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4803 (or 4793 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 243161664 is about 15593.6417811876. The cubic root of 243161664 is about 624.1635008769.

The spelling of 243161664 in words is "two hundred forty-three million, one hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 281 562 843 1124 1686 2248 3372 4496 4507 6744 8992 9014 13488 13521 17984 18028 26976 27042 36056 53952 54084 72112 108168 144224 216336 288448 432672 865344 1266467 2532934 3799401 5065868 7598802 10131736 15197604 20263472 30395208 40526944 60790416 81053888 121580832 243161664