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243400520 = 23511641863
BaseRepresentation
bin11101000000111…
…11111101001000
3121222000000202002
432200133331020
5444302304040
640052530132
76013604336
oct1640377510
9558000662
10243400520
11115436460
1269620948
133b57189c
142447cb56
151657da15
hexe81ff48

243400520 has 64 divisors (see below), whose sum is σ = 599063040. Its totient is φ = 88268800.

The previous prime is 243400517. The next prime is 243400529. The reversal of 243400520 is 25004342.

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

It is a junction number, because it is equal to n+sod(n) for n = 243400492 and 243400501.

It is not an unprimeable number, because it can be changed into a prime (243400529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281609 + ... + 282471.

It is an arithmetic number, because the mean of its divisors is an integer number (9360360).

Almost surely, 2243400520 is an apocalyptic number.

243400520 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 243400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299531520).

243400520 is an abundant number, since it is smaller than the sum of its proper divisors (355662520).

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

243400520 is a wasteful number, since it uses less digits than its factorization.

243400520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 243400520 is about 15601.2986638933. The cubic root of 243400520 is about 624.3678044751.

Adding to 243400520 its reverse (25004342), we get a palindrome (268404862).

The spelling of 243400520 in words is "two hundred forty-three million, four hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 641 863 1282 1726 2564 3205 3452 4315 5128 6410 6904 7051 8630 9493 12820 14102 17260 18986 25640 28204 34520 35255 37972 47465 56408 70510 75944 94930 141020 189860 282040 379720 553183 1106366 2212732 2765915 4425464 5531830 6085013 11063660 12170026 22127320 24340052 30425065 48680104 60850130 121700260 243400520