Search a number
-
+
243266436 = 223371512131
BaseRepresentation
bin11100111111111…
…11001110000100
3121221202012211000
432133333032010
5444234011221
640050013300
76012505410
oct1637771604
9557665730
10243266436
11115354746
1269577230
133b52584a
1424445d40
1516553e26
hexe7ff384

243266436 has 96 divisors (see below), whose sum is σ = 725903360. Its totient is φ = 69012000.

The previous prime is 243266363. The next prime is 243266503. The reversal of 243266436 is 634662342.

243266436 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 6 + 643 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 243266436.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113091 + ... + 115221.

Almost surely, 2243266436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243266436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362951680).

243266436 is an abundant number, since it is smaller than the sum of its proper divisors (482636924).

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

243266436 is a wasteful number, since it uses less digits than its factorization.

243266436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2294 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 243266436 is about 15597.0008655510. Note that the first 3 decimals coincide. The cubic root of 243266436 is about 624.2531332463.

The spelling of 243266436 in words is "two hundred forty-three million, two hundred sixty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 151 189 252 302 378 453 604 756 906 1057 1359 1812 2114 2131 2718 3171 4077 4228 4262 5436 6342 6393 8154 8524 9513 12684 12786 14917 16308 19026 19179 25572 28539 29834 38052 38358 44751 57078 57537 59668 76716 89502 114156 115074 134253 179004 230148 268506 321781 402759 537012 643562 805518 965343 1287124 1611036 1930686 2252467 2896029 3861372 4504934 5792058 6757401 8688087 9009868 11584116 13514802 17376174 20272203 27029604 34752348 40544406 60816609 81088812 121633218 243266436