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4043342464 = 2774799421
BaseRepresentation
bin1111000100000000…
…1000001010000000
3101102210021002010121
43301000020022000
531240043424324
61505114510024
7202124562310
oct36100101200
911383232117
104043342464
1117953a8047
1294a135314
134c58b8745
142a4dd7440
15189e875e4
hexf1008280

4043342464 has 64 divisors (see below), whose sum is σ = 9226022400. Its totient is φ = 1729059840.

The previous prime is 4043342449. The next prime is 4043342467. The reversal of 4043342464 is 4642433404.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4043342467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424474 + ... + 433894.

It is an arithmetic number, because the mean of its divisors is an integer number (144156600).

Almost surely, 24043342464 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 4043342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613011200).

4043342464 is an abundant number, since it is smaller than the sum of its proper divisors (5182679936).

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

4043342464 is an equidigital number, since it uses as much as digits as its factorization.

4043342464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9921 (or 9909 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

The square root of 4043342464 is about 63587.2822504626. The cubic root of 4043342464 is about 1593.1139565188.

Adding to 4043342464 its reverse (4642433404), we get a palindrome (8685775868).

The spelling of 4043342464 in words is "four billion, forty-three million, three hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 479 896 958 1916 3353 3832 6706 7664 9421 13412 15328 18842 26824 30656 37684 53648 61312 65947 75368 107296 131894 150736 214592 263788 301472 429184 527576 602944 1055152 1205888 2110304 4220608 4512659 8441216 9025318 18050636 31588613 36101272 63177226 72202544 126354452 144405088 252708904 288810176 505417808 577620352 1010835616 2021671232 4043342464