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241342420 = 225118313217
BaseRepresentation
bin11100110001010…
…01011111010100
3121211010110120011
432120221133110
5443240424140
635540450004
75660243134
oct1630513724
9554113504
10241342420
11114260150
12689a9904
133b000b87
14240a4ac4
15162c3cea
hexe6297d4

241342420 has 48 divisors (see below), whose sum is σ = 559597248. Its totient is φ = 86696960.

The previous prime is 241342397. The next prime is 241342463. The reversal of 241342420 is 24243142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 241342391 and 241342400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11652 + ... + 24868.

It is an arithmetic number, because the mean of its divisors is an integer number (11658276).

Almost surely, 2241342420 is an apocalyptic number.

241342420 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 241342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279798624).

241342420 is an abundant number, since it is smaller than the sum of its proper divisors (318254828).

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

241342420 is a wasteful number, since it uses less digits than its factorization.

241342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13320 (or 13318 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 241342420 is about 15535.1993871981. The cubic root of 241342420 is about 622.6030173104.

Adding to 241342420 its reverse (24243142), we get a palindrome (265585562).

The spelling of 241342420 in words is "two hundred forty-one million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 9130 13217 18260 26434 52868 66085 132170 145387 264340 290774 581548 726935 1097011 1453870 2194022 2907740 4388044 5485055 10970110 12067121 21940220 24134242 48268484 60335605 120671210 241342420