[go: up one dir, main page]

Search a number
-
+
8234444328 = 23311255112227
BaseRepresentation
bin1111010101100111…
…11010011000101000
3210020212120010001120
413222303322120220
5113331004204303
63441032415240
7411025423215
oct75263723050
923225503046
108234444328
1135461469a0
121719847520
13a12c9a286
14581894b0c
15332daa553
hex1eacfa628

8234444328 has 64 divisors (see below), whose sum is σ = 22468216320. Its totient is φ = 2494104000.

The previous prime is 8234444303. The next prime is 8234444341.

8234444328 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8234444328.

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, 667351 + ... + 679577.

It is an arithmetic number, because the mean of its divisors is an integer number (351065880).

Almost surely, 28234444328 is an apocalyptic number.

8234444328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8234444328 is an abundant number, since it is smaller than the sum of its proper divisors (14233771992).

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

8234444328 is a wasteful number, since it uses less digits than its factorization.

8234444328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14798 (or 14794 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The square root of 8234444328 is about 90743.8390635970. The cubic root of 8234444328 is about 2019.3492273499.

The spelling of 8234444328 in words is "eight billion, two hundred thirty-four million, four hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2551 5102 7653 10204 12227 15306 20408 24454 28061 30612 36681 48908 56122 61224 73362 84183 97816 112244 134497 146724 168366 224488 268994 293448 336732 403491 537988 673464 806982 1075976 1613964 3227928 31191077 62382154 93573231 124764308 187146462 249528616 343101847 374292924 686203694 748585848 1029305541 1372407388 2058611082 2744814776 4117222164 8234444328