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241352300 = 225271731993
BaseRepresentation
bin11100110001010…
…11111001101100
3121211010222010002
432120223321230
5443241233200
635541003432
75660314010
oct1630537154
9554128102
10241352300
11114267612
12689b3578
133b005517
14240a8540
15162c6bd5
hexe62be6c

241352300 has 72 divisors (see below), whose sum is σ = 602315616. Its totient is φ = 82229760.

The previous prime is 241352273. The next prime is 241352333. The reversal of 241352300 is 3253142.

It is a happy number.

241352300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120104 + ... + 122096.

Almost surely, 2241352300 is an apocalyptic number.

241352300 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 241352300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301157808).

241352300 is an abundant number, since it is smaller than the sum of its proper divisors (360963316).

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

241352300 is a wasteful number, since it uses less digits than its factorization.

241352300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 241352300 is about 15535.5173714943. The cubic root of 241352300 is about 622.6115131699.

The spelling of 241352300 in words is "two hundred forty-one million, three hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 173 175 346 350 692 700 865 1211 1730 1993 2422 3460 3986 4325 4844 6055 7972 8650 9965 12110 13951 17300 19930 24220 27902 30275 39860 49825 55804 60550 69755 99650 121100 139510 199300 279020 344789 348775 689578 697550 1379156 1395100 1723945 2413523 3447890 4827046 6895780 8619725 9654092 12067615 17239450 24135230 34478900 48270460 60338075 120676150 241352300