Search a number
-
+
4349708940 = 2235235359471
BaseRepresentation
bin1000000110100001…
…10100101010001100
3102020010202002221010
410003100310222030
532402011141230
61555341205220
7212534626113
oct40320645214
912203662833
104349708940
11193232a785
12a14860810
13544205295
142d3986c7a
151a6d029b0
hex103434a8c

4349708940 has 96 divisors (see below), whose sum is σ = 12948719616. Its totient is φ = 1088538880.

The previous prime is 4349708933. The next prime is 4349708947. The reversal of 4349708940 is 498079434.

It is an interprime number because it is at equal distance from previous prime (4349708933) and next prime (4349708947).

It is a self number, because there is not a number n which added to its sum of digits gives 4349708940.

It is not an unprimeable number, because it can be changed into a prime (4349708947) 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, 43405 + ... + 102875.

It is an arithmetic number, because the mean of its divisors is an integer number (134882496).

Almost surely, 24349708940 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 4349708940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474359808).

4349708940 is an abundant number, since it is smaller than the sum of its proper divisors (8599010676).

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

4349708940 is a wasteful number, since it uses less digits than its factorization.

4349708940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59559 (or 59557 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 4349708940 is about 65952.3232342880. The cubic root of 4349708940 is about 1632.3754918030.

The spelling of 4349708940 in words is "four billion, three hundred forty-nine million, seven hundred eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 53 60 69 92 106 115 138 159 212 230 265 276 318 345 460 530 636 690 795 1060 1219 1380 1590 2438 3180 3657 4876 6095 7314 12190 14628 18285 24380 36570 59471 73140 118942 178413 237884 297355 356826 594710 713652 892065 1189420 1367833 1784130 2735666 3151963 3568260 4103499 5471332 6303926 6839165 8206998 9455889 12607852 13678330 15759815 16413996 18911778 20517495 27356660 31519630 37823556 41034990 47279445 63039260 72495149 82069980 94558890 144990298 189117780 217485447 289980596 362475745 434970894 724951490 869941788 1087427235 1449902980 2174854470 4349708940