Search a number
-
+
8218134340 = 22513155320353
BaseRepresentation
bin1111010011101011…
…01100011101000100
3210012201212110221221
413221311230131010
5113312320244330
63435251050124
7410436663223
oct75165543504
923181773857
108218134340
113537a16a69
1217142a0944
13a0c7a95b0
1457d64acba
15331737b7a
hex1e9d6c744

8218134340 has 48 divisors (see below), whose sum is σ = 18598508208. Its totient is φ = 3032285184.

The previous prime is 8218134283. The next prime is 8218134371. The reversal of 8218134340 is 434318128.

It can be written as a sum of positive squares in 8 ways, for example, as 2329413696 + 5888720644 = 48264^2 + 76738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8218134296 and 8218134305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393604 + ... + 413956.

It is an arithmetic number, because the mean of its divisors is an integer number (387468921).

Almost surely, 28218134340 is an apocalyptic number.

It is an amenable number.

8218134340 is an abundant number, since it is smaller than the sum of its proper divisors (10380373868).

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

8218134340 is a wasteful number, since it uses less digits than its factorization.

8218134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21928 (or 21926 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 8218134340 is about 90653.9262249573. The cubic root of 8218134340 is about 2018.0151024836.

The spelling of 8218134340 in words is "eight billion, two hundred eighteen million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1553 3106 6212 7765 15530 20189 20353 31060 40378 40706 80756 81412 100945 101765 201890 203530 264589 403780 407060 529178 1058356 1322945 2645890 5291780 31608209 63216418 126432836 158041045 316082090 410906717 632164180 821813434 1643626868 2054533585 4109067170 8218134340