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4334880114 = 2323757111399
BaseRepresentation
bin1000000100110000…
…10000010101110010
3102012002211201121100
410002120100111302
532334212130424
61554051305230
7212264605305
oct40230202562
912162751540
104334880114
111924a21654
12a0b8ab216
13541112826
142d1a06b3c
151a5873dc9
hex102610572

4334880114 has 48 divisors (see below), whose sum is σ = 9663825600. Its totient is φ = 1403321760.

The previous prime is 4334880107. The next prime is 4334880139. The reversal of 4334880114 is 4110884334.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374587 + ... + 385985.

It is an arithmetic number, because the mean of its divisors is an integer number (201329700).

Almost surely, 24334880114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4334880114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831912800).

4334880114 is an abundant number, since it is smaller than the sum of its proper divisors (5328945486).

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

4334880114 is a wasteful number, since it uses less digits than its factorization.

4334880114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12015 (or 12012 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4334880114 is about 65839.8064547581. The cubic root of 4334880114 is about 1630.5183735260.

The spelling of 4334880114 in words is "four billion, three hundred thirty-four million, eight hundred eighty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 571 666 1142 1713 3426 5139 10278 11399 21127 22798 34197 42254 63381 68394 102591 126762 190143 205182 380286 421763 843526 1265289 2530578 3795867 6508829 7591734 13017658 19526487 39052974 58579461 117158922 240826673 481653346 722480019 1444960038 2167440057 4334880114