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4349139720 = 2335534491523
BaseRepresentation
bin1000000110011101…
…01001101100001000
3102020002200012002220
410003032221230020
532401334432340
61555321054040
7212530035432
oct40316515410
912202605086
104349139720
111931a81052
12a14627320
13544066173
142d3879652
151a6c3ded0
hex1033a9b08

4349139720 has 128 divisors (see below), whose sum is σ = 13331952000. Its totient is φ = 1134608384.

The previous prime is 4349139673. The next prime is 4349139721. The reversal of 4349139720 is 279319434.

It is not an unprimeable number, because it can be changed into a prime (4349139721) 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, 2854879 + ... + 2856401.

It is an arithmetic number, because the mean of its divisors is an integer number (104155875).

Almost surely, 24349139720 is an apocalyptic number.

4349139720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4349139720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6665976000).

4349139720 is an abundant number, since it is smaller than the sum of its proper divisors (8982812280).

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

4349139720 is a wasteful number, since it uses less digits than its factorization.

4349139720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 4349139720 is about 65948.0077030383. The cubic root of 4349139720 is about 1632.3042823401.

The spelling of 4349139720 in words is "four billion, three hundred forty-nine million, one hundred thirty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 449 530 636 795 898 1060 1272 1347 1523 1590 1796 2120 2245 2694 3046 3180 3592 4490 4569 5388 6092 6360 6735 7615 8980 9138 10776 12184 13470 15230 17960 18276 22845 23797 26940 30460 36552 45690 47594 53880 60920 71391 80719 91380 95188 118985 142782 161438 182760 190376 237970 242157 285564 322876 356955 403595 475940 484314 571128 645752 683827 713910 807190 951880 968628 1210785 1367654 1427820 1614380 1937256 2051481 2421570 2735308 2855640 3228760 3419135 4102962 4843140 5470616 6838270 8205924 9686280 10257405 13676540 16411848 20514810 27353080 36242831 41029620 72485662 82059240 108728493 144971324 181214155 217456986 289942648 362428310 434913972 543642465 724856620 869827944 1087284930 1449713240 2174569860 4349139720