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243326640 = 24352693769
BaseRepresentation
bin11101000000011…
…01111010110000
3121221212021101210
432200031322300
5444242423030
640051200120
76013146054
oct1640157260
9557767353
10243326640
111153959a7
12695a6040
133b54707b
142445dc64
1516566bb0
hexe80deb0

243326640 has 80 divisors (see below), whose sum is σ = 757317600. Its totient is φ = 64628736.

The previous prime is 243326599. The next prime is 243326651. The reversal of 243326640 is 46623342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 243326598 and 243326607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62676 + ... + 66444.

It is an arithmetic number, because the mean of its divisors is an integer number (9466470).

Almost surely, 2243326640 is an apocalyptic number.

243326640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243326640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378658800).

243326640 is an abundant number, since it is smaller than the sum of its proper divisors (513990960).

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

243326640 is a wasteful number, since it uses less digits than its factorization.

243326640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 243326640 is about 15598.9307325855. The cubic root of 243326640 is about 624.3046260818.

Adding to 243326640 its reverse (46623342), we get a palindrome (289949982).

The spelling of 243326640 in words is "two hundred forty-three million, three hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 269 538 807 1076 1345 1614 2152 2690 3228 3769 4035 4304 5380 6456 7538 8070 10760 11307 12912 15076 16140 18845 21520 22614 30152 32280 37690 45228 56535 60304 64560 75380 90456 113070 150760 180912 226140 301520 452280 904560 1013861 2027722 3041583 4055444 5069305 6083166 8110888 10138610 12166332 15207915 16221776 20277220 24332664 30415830 40554440 48665328 60831660 81108880 121663320 243326640