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4424340004 = 2274361107563
BaseRepresentation
bin1000001111011011…
…00001001000100100
3102102100011202111121
410013231201020210
533030112340004
62011004543324
7214432161310
oct40755411044
912370152447
104424340004
111970474147
12a35851b44
13556805986
142dd852b40
151ad645854
hex107b61224

4424340004 has 96 divisors (see below), whose sum is σ = 9305404416. Its totient is φ = 1801457280.

The previous prime is 4424340001. The next prime is 4424340013. The reversal of 4424340004 is 4000434244.

It is not an unprimeable number, because it can be changed into a prime (4424340001) 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 31 ways as a sum of consecutive naturals, for example, 7858227 + ... + 7858789.

It is an arithmetic number, because the mean of its divisors is an integer number (96931296).

Almost surely, 24424340004 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 4424340004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652702208).

4424340004 is an abundant number, since it is smaller than the sum of its proper divisors (4881064412).

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

4424340004 is a wasteful number, since it uses less digits than its factorization.

4424340004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 4424340004 is about 66515.7124595385. The cubic root of 4424340004 is about 1641.6585447212.

Adding to 4424340004 its reverse (4000434244), we get a palindrome (8424774248).

The spelling of 4424340004 in words is "four billion, four hundred twenty-four million, three hundred forty thousand, four".

Divisors: 1 2 4 7 14 28 43 61 86 107 122 172 214 244 301 427 428 563 602 749 854 1126 1204 1498 1708 2252 2623 2996 3941 4601 5246 6527 7882 9202 10492 13054 15764 18361 18404 24209 26108 32207 34343 36722 45689 48418 60241 64414 68686 73444 91378 96836 120482 128828 137372 169463 182756 240401 240964 280661 338926 421687 480802 561322 677852 843374 961604 1122644 1476749 1686748 1964627 2590363 2953498 3674701 3929254 5180726 5906996 7349402 7858508 10337243 10361452 14698804 18132541 20674486 25722907 36265082 41348972 51445814 72530164 102891628 158012143 316024286 632048572 1106085001 2212170002 4424340004