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243102440 = 23571495827
BaseRepresentation
bin11100111110101…
…11001011101000
3121221102212212002
432133113023220
5444213234230
640042310132
76011223320
oct1637271350
9557385762
10243102440
11115252509
12694b8348
133b498cc9
1424402280
1516520545
hexe7d72e8

243102440 has 64 divisors (see below), whose sum is σ = 629424000. Its totient is φ = 82775808.

The previous prime is 243102421. The next prime is 243102443. The reversal of 243102440 is 44201342.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (243102443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38807 + ... + 44633.

It is an arithmetic number, because the mean of its divisors is an integer number (9834750).

Almost surely, 2243102440 is an apocalyptic number.

243102440 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 243102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314712000).

243102440 is an abundant number, since it is smaller than the sum of its proper divisors (386321560).

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

243102440 is a wasteful number, since it uses less digits than its factorization.

243102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 243102440 is about 15591.7426864350. The cubic root of 243102440 is about 624.1128233975.

Adding to 243102440 its reverse (44201342), we get a palindrome (287303782).

The spelling of 243102440 in words is "two hundred forty-three million, one hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 149 280 298 596 745 1043 1192 1490 2086 2980 4172 5215 5827 5960 8344 10430 11654 20860 23308 29135 40789 41720 46616 58270 81578 116540 163156 203945 233080 326312 407890 815780 868223 1631560 1736446 3472892 4341115 6077561 6945784 8682230 12155122 17364460 24310244 30387805 34728920 48620488 60775610 121551220 243102440