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4314346050 = 235278534817
BaseRepresentation
bin1000000010010011…
…11011001001000010
3102010200012111011110
410001021323021002
532313433033200
61552035224150
7211625223240
oct40111731102
912120174143
104314346050
111914377053
12a04a48056
13539aa32b1
142ccdbd790
151a3b69b50
hex10127b242

4314346050 has 96 divisors (see below), whose sum is σ = 12244966272. Its totient is φ = 984775680.

The previous prime is 4314346007. The next prime is 4314346051. The reversal of 4314346050 is 506434134.

It is a super-2 number, since 2×43143460502 = 37227163678301205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4314345999 and 4314346017.

It is not an unprimeable number, because it can be changed into a prime (4314346051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893242 + ... + 898058.

It is an arithmetic number, because the mean of its divisors is an integer number (127551732).

Almost surely, 24314346050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314346050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122483136).

4314346050 is an abundant number, since it is smaller than the sum of its proper divisors (7930620222).

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

4314346050 is a wasteful number, since it uses less digits than its factorization.

4314346050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 4314346050 is about 65683.6817634335. The cubic root of 4314346050 is about 1627.9397420985.

The spelling of 4314346050 in words is "four billion, three hundred fourteen million, three hundred forty-six thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 853 1050 1706 2559 4265 4817 5118 5971 8530 9634 11942 12795 14451 17913 21325 24085 25590 28902 29855 33719 35826 42650 48170 59710 63975 67438 72255 89565 101157 120425 127950 144510 149275 168595 179130 202314 240850 298550 337190 361275 447825 505785 722550 842975 895650 1011570 1685950 2528925 4108901 5057850 8217802 12326703 20544505 24653406 28762307 41089010 57524614 61633515 86286921 102722525 123267030 143811535 172573842 205445050 287623070 308167575 431434605 616335150 719057675 862869210 1438115350 2157173025 4314346050