Search a number
-
+
243193968 = 2433562949
BaseRepresentation
bin11100111111011…
…01100001110000
3121221121112102000
432133231201300
5444224201333
640044254000
76012054213
oct1637554160
9557545360
10243193968
11115305256
1269541300
133b4cb874
142442777a
151653c713
hexe7ed870

243193968 has 40 divisors (see below), whose sum is σ = 698058000. Its totient is φ = 81064512.

The previous prime is 243193931. The next prime is 243193969. The reversal of 243193968 is 869391342.

It is a happy number.

243193968 is a `hidden beast` number, since 243 + 19 + 396 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243193969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281043 + ... + 281906.

It is an arithmetic number, because the mean of its divisors is an integer number (17451450).

Almost surely, 2243193968 is an apocalyptic number.

It is an amenable number.

243193968 is an abundant number, since it is smaller than the sum of its proper divisors (454864032).

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

243193968 is a wasteful number, since it uses less digits than its factorization.

243193968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562966 (or 562954 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 243193968 is about 15594.6775535758. The cubic root of 243193968 is about 624.1911396702.

The spelling of 243193968 in words is "two hundred forty-three million, one hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 562949 1125898 1688847 2251796 3377694 4503592 5066541 6755388 9007184 10133082 13510776 15199623 20266164 27021552 30399246 40532328 60798492 81064656 121596984 243193968