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241401000 = 23353671201
BaseRepresentation
bin11100110001101…
…11110010101000
3121211020102220210
432120313302220
5443244313000
635542021120
75660606001
oct1630676250
9554212823
10241401000
111142a0165
1268a177a0
133b021739
14240bc1a8
15162d6350
hexe637ca8

241401000 has 128 divisors (see below), whose sum is σ = 765048960. Its totient is φ = 63360000.

The previous prime is 241400993. The next prime is 241401049. The reversal of 241401000 is 104142.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200400 + ... + 201600.

It is an arithmetic number, because the mean of its divisors is an integer number (5976945).

Almost surely, 2241401000 is an apocalyptic number.

241401000 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 241401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382524480).

241401000 is an abundant number, since it is smaller than the sum of its proper divisors (523647960).

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

241401000 is a wasteful number, since it uses less digits than its factorization.

241401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 241401000 is about 15537.0846686243. The cubic root of 241401000 is about 622.6533871463.

Adding to 241401000 its reverse (104142), we get a palindrome (241505142).

The spelling of 241401000 in words is "two hundred forty-one million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 125 134 150 200 201 250 268 300 335 375 402 500 536 600 670 750 804 1000 1005 1201 1340 1500 1608 1675 2010 2402 2680 3000 3350 3603 4020 4804 5025 6005 6700 7206 8040 8375 9608 10050 12010 13400 14412 16750 18015 20100 24020 25125 28824 30025 33500 36030 40200 48040 50250 60050 67000 72060 80467 90075 100500 120100 144120 150125 160934 180150 201000 240200 241401 300250 321868 360300 402335 450375 482802 600500 643736 720600 804670 900750 965604 1201000 1207005 1609340 1801500 1931208 2011675 2414010 3218680 3603000 4023350 4828020 6035025 8046700 9656040 10058375 12070050 16093400 20116750 24140100 30175125 40233500 48280200 60350250 80467000 120700500 241401000