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243320832 = 2113243307
BaseRepresentation
bin11101000000011…
…00100000000000
3121221211222102200
432200030200000
5444242231312
640051113200
76013123116
oct1640144000
9557758380
10243320832
111153915a7
12695a2800
133b544531
142445bab6
15165650dc
hexe80c800

243320832 has 144 divisors (see below), whose sum is σ = 721440720. Its totient is φ = 78962688.

The previous prime is 243320771. The next prime is 243320849. The reversal of 243320832 is 238023342.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 243320796 and 243320805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792423 + ... + 792729.

It is an arithmetic number, because the mean of its divisors is an integer number (5010005).

Almost surely, 2243320832 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 243320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360720360).

243320832 is an abundant number, since it is smaller than the sum of its proper divisors (478119888).

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

243320832 is a wasteful number, since it uses less digits than its factorization.

243320832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 243320832 is about 15598.7445648680. The cubic root of 243320832 is about 624.2996588354.

The spelling of 243320832 in words is "two hundred forty-three million, three hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 307 344 384 387 512 516 576 614 688 768 774 921 1024 1032 1152 1228 1376 1536 1548 1842 2048 2064 2304 2456 2752 2763 3072 3096 3684 4128 4608 4912 5504 5526 6144 6192 7368 8256 9216 9824 11008 11052 12384 13201 14736 16512 18432 19648 22016 22104 24768 26402 29472 33024 39296 39603 44032 44208 49536 52804 58944 66048 78592 79206 88064 88416 99072 105608 117888 118809 132096 157184 158412 176832 198144 211216 235776 237618 264192 314368 316824 353664 396288 422432 471552 475236 628736 633648 707328 792576 844864 943104 950472 1267296 1414656 1689728 1886208 1900944 2534592 2829312 3379456 3801888 5069184 5658624 6758912 7603776 10138368 13517824 15207552 20276736 27035648 30415104 40553472 60830208 81106944 121660416 243320832