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241298442 = 232731121719
BaseRepresentation
bin11100110000111…
…10110000001010
3121211001020020100
432120132300022
5443233022232
635535510230
75660001000
oct1630366012
9554036210
10241298442
11114230100
1268988376
133acb6b58
1424092a70
15162b5c7c
hexe61ec0a

241298442 has 288 divisors, whose sum is σ = 746928000. Its totient is φ = 55883520.

The previous prime is 241298429. The next prime is 241298471. The reversal of 241298442 is 244892142.

It is a super-2 number, since 2×2412984422 = 116449876223254728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241298397 and 241298406.

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 143 ways as a sum of consecutive naturals, for example, 12699909 + ... + 12699927.

It is an arithmetic number, because the mean of its divisors is an integer number (2593500).

Almost surely, 2241298442 is an apocalyptic number.

241298442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 241298442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464000).

241298442 is an abundant number, since it is smaller than the sum of its proper divisors (505629558).

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

241298442 is a wasteful number, since it uses less digits than its factorization.

241298442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 241298442 is about 15533.7838918919. The cubic root of 241298442 is about 622.5651976035.

It can be divided in two parts, 24 and 1298442, that added together give a triangular number (1298466 = T1611).

The spelling of 241298442 in words is "two hundred forty-one million, two hundred ninety-eight thousand, four hundred forty-two".