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241030144 = 210415741
BaseRepresentation
bin11100101110111…
…01010000000000
3121210112121012101
432113131100000
5443200431034
635530040144
75654502535
oct1627352000
9553477171
10241030144
11114067573
1268879054
133ac219b4
1424022d8c
1516261514
hexe5dd400

241030144 has 44 divisors (see below), whose sum is σ = 493662708. Its totient is φ = 117555200.

The previous prime is 241030117. The next prime is 241030157. The reversal of 241030144 is 441030142.

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 184960000 = 7488^2 + 13600^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39114 + ... + 44854.

It is an arithmetic number, because the mean of its divisors is an integer number (11219607).

Almost surely, 2241030144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246831354).

241030144 is an abundant number, since it is smaller than the sum of its proper divisors (252632564).

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

241030144 is an equidigital number, since it uses as much as digits as its factorization.

241030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5802 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 241030144 is about 15525.1455387703. The cubic root of 241030144 is about 622.3343701105.

Adding to 241030144 its reverse (441030142), we get a palindrome (682060286).

The spelling of 241030144 in words is "two hundred forty-one million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2624 5248 5741 10496 11482 20992 22964 41984 45928 91856 183712 235381 367424 470762 734848 941524 1469696 1883048 2939392 3766096 5878784 7532192 15064384 30128768 60257536 120515072 241030144