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2441830968 = 233311304773
BaseRepresentation
bin1001000110001011…
…0110001000111000
320022011201212101000
42101202312020320
520000102042333
61042144525000
7114340135503
oct22142661070
96264655330
102441830968
111043393825
12581920760
132cbb739c5
1419242c13a
15e458a713
hex918b6238

2441830968 has 32 divisors (see below), whose sum is σ = 6782864400. Its totient is φ = 813943584.

The previous prime is 2441830927. The next prime is 2441830969. The reversal of 2441830968 is 8690381442.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441830969) by changing a digit.

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, 5652171 + ... + 5652602.

Almost surely, 22441830968 is an apocalyptic number.

It is an amenable number.

2441830968 is an abundant number, since it is smaller than the sum of its proper divisors (4341033432).

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

2441830968 is a wasteful number, since it uses less digits than its factorization.

2441830968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304788 (or 11304778 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2441830968 is about 49414.8860972076. The cubic root of 2441830968 is about 1346.5997590630.

The spelling of 2441830968 in words is "two billion, four hundred forty-one million, eight hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 11304773 22609546 33914319 45219092 67828638 90438184 101742957 135657276 203485914 271314552 305228871 406971828 610457742 813943656 1220915484 2441830968