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243203400240 = 2435192311320521
BaseRepresentation
bin1110001010000000001…
…1010110001000110000
3212020202021002211000020
43202200003112020300
512441040032301430
6303420500523440
723366543536053
oct3424003261060
9766667084006
10243203400240
1194161a85259
123b1743b0580
1319c1ac60b28
14bab1cc0a9a
1564d62cbb10
hex38a00d6230

243203400240 has 320 divisors, whose sum is σ = 835485096960. Its totient is φ = 58246594560.

The previous prime is 243203400203. The next prime is 243203400241. The reversal of 243203400240 is 42004302342.

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

It is a self number, because there is not a number n which added to its sum of digits gives 243203400240.

It is not an unprimeable number, because it can be changed into a prime (243203400241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11841180 + ... + 11861700.

It is an arithmetic number, because the mean of its divisors is an integer number (2610890928).

Almost surely, 2243203400240 is an apocalyptic number.

243203400240 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 243203400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417742548480).

243203400240 is an abundant number, since it is smaller than the sum of its proper divisors (592281696720).

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

243203400240 is a wasteful number, since it uses less digits than its factorization.

243203400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20692 (or 20686 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 243203400240 its reverse (42004302342), we get a palindrome (285207702582).

The spelling of 243203400240 in words is "two hundred forty-three billion, two hundred three million, four hundred thousand, two hundred forty".