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241420344 = 233117312527
BaseRepresentation
bin11100110001111…
…00100000111000
3121211021102110020
432120330200320
5443300422334
635542250440
75661016254
oct1630744070
9554242406
10241420344
11114303750
1268a26a20
133b02a499
14240c5264
15162dbe49
hexe63c838

241420344 has 64 divisors (see below), whose sum is σ = 667491840. Its totient is φ = 72149760.

The previous prime is 241420339. The next prime is 241420367. The reversal of 241420344 is 443024142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13009 + ... + 25535.

It is an arithmetic number, because the mean of its divisors is an integer number (10429560).

Almost surely, 2241420344 is an apocalyptic number.

241420344 is a gapful number since it is divisible by the number (24) 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 241420344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333745920).

241420344 is an abundant number, since it is smaller than the sum of its proper divisors (426071496).

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

241420344 is a wasteful number, since it uses less digits than its factorization.

241420344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12620 (or 12616 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 241420344 is about 15537.7071667605. The cubic root of 241420344 is about 622.6700182365.

Adding to 241420344 its reverse (443024142), we get a palindrome (684444486).

The spelling of 241420344 in words is "two hundred forty-one million, four hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 4818 6424 9636 12527 19272 25054 37581 50108 75162 100216 137797 150324 275594 300648 413391 551188 826782 914471 1102376 1653564 1828942 2743413 3307128 3657884 5486826 7315768 10059181 10973652 20118362 21947304 30177543 40236724 60355086 80473448 120710172 241420344