Search a number
-
+
243023136 = 25331127643
BaseRepresentation
bin11100111110000…
…11110100100000
3121221021212001220
432133003310200
5444203220021
640040455040
76010443156
oct1637036440
9557255056
10243023136
111151a8974
126947a480
133b46bb95
14243c13d6
1516506cc6
hexe7c3d20

243023136 has 96 divisors (see below), whose sum is σ = 664731648. Its totient is φ = 77656320.

The previous prime is 243023101. The next prime is 243023147. The reversal of 243023136 is 631320342.

243023136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377631 + ... + 378273.

It is an arithmetic number, because the mean of its divisors is an integer number (6924288).

Almost surely, 2243023136 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 243023136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332365824).

243023136 is an abundant number, since it is smaller than the sum of its proper divisors (421708512).

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

243023136 is a wasteful number, since it uses less digits than its factorization.

243023136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 243023136 is about 15589.1993380032. The cubic root of 243023136 is about 624.0449507395.

Adding to 243023136 its reverse (631320342), we get a palindrome (874343478).

The spelling of 243023136 in words is "two hundred forty-three million, twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 127 186 248 254 372 381 496 508 643 744 762 992 1016 1286 1488 1524 1929 2032 2572 2976 3048 3858 3937 4064 5144 6096 7716 7874 10288 11811 12192 15432 15748 19933 20576 23622 30864 31496 39866 47244 59799 61728 62992 79732 81661 94488 119598 125984 159464 163322 188976 239196 244983 318928 326644 377952 478392 489966 637856 653288 956784 979932 1306576 1913568 1959864 2531491 2613152 3919728 5062982 7594473 7839456 10125964 15188946 20251928 30377892 40503856 60755784 81007712 121511568 243023136