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4384418241 = 374094571117
BaseRepresentation
bin1000001010101010…
…01110100111000001
3102022120001112010210
410011111032213001
532434402340431
62003021144333
7213435640320
oct40525164701
912276045123
104384418241
11194a987355
12a243bb0a9
1354b468928
142d84200b7
151a9dabd46
hex10554e9c1

4384418241 has 32 divisors (see below), whose sum is σ = 6718017280. Its totient is φ = 2491554816.

The previous prime is 4384418231. The next prime is 4384418279. The reversal of 4384418241 is 1428144834.

It is not a de Polignac number, because 4384418241 - 26 = 4384418177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4384418241.

It is not an unprimeable number, because it can be changed into a prime (4384418221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3924615 + ... + 3925731.

It is an arithmetic number, because the mean of its divisors is an integer number (209938040).

Almost surely, 24384418241 is an apocalyptic number.

It is an amenable number.

4384418241 is a deficient number, since it is larger than the sum of its proper divisors (2333599039).

4384418241 is a wasteful number, since it uses less digits than its factorization.

4384418241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993.

The product of its digits is 98304, while the sum is 39.

The square root of 4384418241 is about 66214.9397115183. The cubic root of 4384418241 is about 1636.7059402465.

The spelling of 4384418241 in words is "four billion, three hundred eighty-four million, four hundred eighteen thousand, two hundred forty-one".

Divisors: 1 3 7 21 409 457 1117 1227 1371 2863 3199 3351 7819 8589 9597 23457 186913 456853 510469 560739 1308391 1370559 1531407 3197971 3573283 3925173 9593913 10719849 208781821 626345463 1461472747 4384418241