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241063104 = 2632275531
BaseRepresentation
bin11100101111001…
…01010011000000
3121210121021102010
432113211103000
5443203004404
635530452520
75655000612
oct1627452300
9553537363
10241063104
1111408a307
1268894140
133ac339b9
1424030db2
151626b189
hexe5e54c0

241063104 has 56 divisors (see below), whose sum is σ = 640738368. Its totient is φ = 79985920.

The previous prime is 241063093. The next prime is 241063153. The reversal of 241063104 is 401360142.

It is a super-2 number, since 2×2410631042 = 116222840220229632, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 40819 + ... + 46349.

Almost surely, 2241063104 is an apocalyptic number.

241063104 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 241063104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320369184).

241063104 is an abundant number, since it is smaller than the sum of its proper divisors (399675264).

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

241063104 is a wasteful number, since it uses less digits than its factorization.

241063104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 241063104 is about 15526.2070062202. The cubic root of 241063104 is about 622.3627361420.

The spelling of 241063104 in words is "two hundred forty-one million, sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 227 454 681 908 1362 1816 2724 3632 5448 5531 7264 10896 11062 14528 16593 21792 22124 33186 43584 44248 66372 88496 132744 176992 265488 353984 530976 1061952 1255537 2511074 3766611 5022148 7533222 10044296 15066444 20088592 30132888 40177184 60265776 80354368 120531552 241063104