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243411234000 = 243531137263379
BaseRepresentation
bin1110001010110001110…
…0001010110011010000
3212021021202011212022220
43202230130022303100
512442001233442000
6303453243301040
723404646231304
oct3425434126320
9767252155286
10243411234000
11942593288a0
123b211b1a780
1319c5202b99c
14bad1741d04
1564e96821a0
hex38ac70acd0

243411234000 has 640 divisors, whose sum is σ = 884909076480. Its totient is φ = 57044736000.

The previous prime is 243411233993. The next prime is 243411234043. The reversal of 243411234000 is 432114342.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 642245811 + ... + 642246189.

It is an arithmetic number, because the mean of its divisors is an integer number (1382670432).

Almost surely, 2243411234000 is an apocalyptic number.

243411234000 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 243411234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442454538240).

243411234000 is an abundant number, since it is smaller than the sum of its proper divisors (641497842480).

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

243411234000 is a wasteful number, since it uses less digits than its factorization.

243411234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 243411234000 its reverse (432114342), we get a palindrome (243843348342).

The spelling of 243411234000 in words is "two hundred forty-three billion, four hundred eleven million, two hundred thirty-four thousand".