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243381456 = 24332919427
BaseRepresentation
bin11101000000110…
…11010011010000
3121221222001121000
432200123103100
5444301201311
640052302000
76013464633
oct1640332320
9557861530
10243381456
111154230aa
1269611900
133b565cc6
1424475c1a
1516578056
hexe81b4d0

243381456 has 80 divisors (see below), whose sum is σ = 722721600. Its totient is φ = 78325632.

The previous prime is 243381433. The next prime is 243381473. The reversal of 243381456 is 654183342.

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

It is a self number, because there is not a number n which added to its sum of digits gives 243381456.

It is a congruent number.

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, 2815 + ... + 22241.

It is an arithmetic number, because the mean of its divisors is an integer number (9034020).

Almost surely, 2243381456 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 243381456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361360800).

243381456 is an abundant number, since it is smaller than the sum of its proper divisors (479340144).

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

243381456 is a wasteful number, since it uses less digits than its factorization.

243381456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19473 (or 19461 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 243381456 is about 15600.6876771506. The cubic root of 243381456 is about 624.3515031423.

The spelling of 243381456 in words is "two hundred forty-three million, three hundred eighty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 12528 19427 38854 58281 77708 116562 155416 174843 233124 310832 349686 466248 524529 563383 699372 932496 1049058 1126766 1398744 1690149 2098116 2253532 2797488 3380298 4196232 4507064 5070447 6760596 8392464 9014128 10140894 13521192 15211341 20281788 27042384 30422682 40563576 60845364 81127152 121690728 243381456