Search a number
-
+
243475680 = 25357233311
BaseRepresentation
bin11101000001100…
…10010011100000
3121222010211211210
432200302103200
5444312210210
640054310120
76014336430
oct1640622340
9558124753
10243475680
11115487978
1269658340
133b599b66
142449c2c0
1516595e20
hexe8324e0

243475680 has 192 divisors, whose sum is σ = 883104768. Its totient is φ = 55234560.

The previous prime is 243475679. The next prime is 243475691. The reversal of 243475680 is 86574342.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782725 + ... + 783035.

It is an arithmetic number, because the mean of its divisors is an integer number (4599504).

Almost surely, 2243475680 is an apocalyptic number.

243475680 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 243475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441552384).

243475680 is an abundant number, since it is smaller than the sum of its proper divisors (639629088).

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

243475680 is a wasteful number, since it uses less digits than its factorization.

243475680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 243475680 is about 15603.7072518040. The cubic root of 243475680 is about 624.4320643415.

The spelling of 243475680 in words is "two hundred forty-three million, four hundred seventy-five thousand, six hundred eighty".