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241434200 = 23527315563
BaseRepresentation
bin11100110001111…
…11111001011000
3121211022010110102
432120333321120
5443301343300
635542434532
75661104540
oct1630777130
9554263412
10241434200
111143130a7
1268a32a48
133b033897
14240ca320
15162e10d5
hexe63fe58

241434200 has 96 divisors (see below), whose sum is σ = 662338560. Its totient is φ = 80092800.

The previous prime is 241434181. The next prime is 241434203. The reversal of 241434200 is 2434142.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241434203) 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 23 ways as a sum of consecutive naturals, for example, 40619 + ... + 46181.

It is an arithmetic number, because the mean of its divisors is an integer number (6899360).

Almost surely, 2241434200 is an apocalyptic number.

241434200 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 241434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331169280).

241434200 is an abundant number, since it is smaller than the sum of its proper divisors (420904360).

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

241434200 is a wasteful number, since it uses less digits than its factorization.

241434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5608 counting only the distinct ones).

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

The square root of 241434200 is about 15538.1530433961. The cubic root of 241434200 is about 622.6819304482.

Adding to 241434200 its reverse (2434142), we get a palindrome (243868342).

The spelling of 241434200 in words is "two hundred forty-one million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 1085 1240 1400 1550 1736 2170 3100 4340 5425 5563 6200 8680 10850 11126 21700 22252 27815 38941 43400 44504 55630 77882 111260 139075 155764 172453 194705 222520 278150 311528 344906 389410 556300 689812 778820 862265 973525 1112600 1207171 1379624 1557640 1724530 1947050 2414342 3449060 3894100 4311325 4828684 6035855 6898120 7788200 8622650 9657368 12071710 17245300 24143420 30179275 34490600 48286840 60358550 120717100 241434200