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241430000 = 245473449
BaseRepresentation
bin11100110001111…
…10110111110000
3121211021220200212
432120332313300
5443301230000
635542403252
75661056360
oct1630766760
9554256625
10241430000
1111430aa29
1268a30528
133b0319b6
14240c89a0
15162dec35
hexe63edf0

241430000 has 100 divisors (see below), whose sum is σ = 668223600. Its totient is φ = 82752000.

The previous prime is 241429997. The next prime is 241430003. The reversal of 241430000 is 34142.

It is an interprime number because it is at equal distance from previous prime (241429997) and next prime (241430003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241430003) 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 19 ways as a sum of consecutive naturals, for example, 68276 + ... + 71724.

It is an arithmetic number, because the mean of its divisors is an integer number (6682236).

Almost surely, 2241430000 is an apocalyptic number.

241430000 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 241430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334111800).

241430000 is an abundant number, since it is smaller than the sum of its proper divisors (426793600).

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

241430000 is an equidigital number, since it uses as much as digits as its factorization.

241430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 241430000 is about 15538.0178916102. The cubic root of 241430000 is about 622.6783196931.

Adding to 241430000 its reverse (34142), we get a palindrome (241464142).

The spelling of 241430000 in words is "two hundred forty-one million, four hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3449 3500 4375 5000 6898 7000 8750 10000 13796 14000 17245 17500 24143 27592 34490 35000 48286 55184 68980 70000 86225 96572 120715 137960 172450 193144 241430 275920 344900 386288 431125 482860 603575 689800 862250 965720 1207150 1379600 1724500 1931440 2155625 2414300 3017875 3449000 4311250 4828600 6035750 6898000 8622500 9657200 12071500 15089375 17245000 24143000 30178750 34490000 48286000 60357500 120715000 241430000