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243148672 = 2713473109
BaseRepresentation
bin11100111111000…
…10011110000000
3121221112020021101
432133202132000
5444221224142
640043304144
76011505154
oct1637423600
9557466241
10243148672
11115284218
126951b054
133b4b4070
1424415064
151652e0b7
hexe7e2780

243148672 has 64 divisors (see below), whose sum is σ = 532929600. Its totient is φ = 109799424.

The previous prime is 243148667. The next prime is 243148679. The reversal of 243148672 is 276841342.

243148672 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243148679) 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, 76654 + ... + 79762.

It is an arithmetic number, because the mean of its divisors is an integer number (8327025).

Almost surely, 2243148672 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 243148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266464800).

243148672 is an abundant number, since it is smaller than the sum of its proper divisors (289780928).

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

243148672 is a wasteful number, since it uses less digits than its factorization.

243148672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3171 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 243148672 is about 15593.2251955777. The cubic root of 243148672 is about 624.1523844362.

The spelling of 243148672 in words is "two hundred forty-three million, one hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 376 416 611 752 832 1222 1504 1664 2444 3008 3109 4888 6016 6218 9776 12436 19552 24872 39104 40417 49744 78208 80834 99488 146123 161668 198976 292246 323336 397952 584492 646672 1168984 1293344 1899599 2337968 2586688 3799198 4675936 5173376 7598396 9351872 15196792 18703744 30393584 60787168 121574336 243148672