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34856514 = 23371183101
BaseRepresentation
bin1000010011110…
…1111001000010
32102120220011000
42010331321002
532410402024
63243032430
7602163330
oct204757102
972526130
1034856514
1118748240
12b80b716
1372b5674
1448b4b50
1530d7cc9
hex213de42

34856514 has 128 divisors (see below), whose sum is σ = 98703360. Its totient is φ = 8856000.

The previous prime is 34856501. The next prime is 34856533. The reversal of 34856514 is 41565843.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345064 + ... + 345164.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 234856514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34856514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

34856514 is an abundant number, since it is smaller than the sum of its proper divisors (63846846).

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

34856514 is a wasteful number, since it uses less digits than its factorization.

34856514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 34856514 is about 5903.9405484812. The cubic root of 34856514 is about 326.6590166657.

It can be divided in two parts, 3485 and 6514, that added together give a palindrome (9999).

The spelling of 34856514 in words is "thirty-four million, eight hundred fifty-six thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 83 99 101 126 154 166 189 198 202 231 249 297 303 378 462 498 581 594 606 693 707 747 909 913 1111 1162 1386 1414 1494 1743 1818 1826 2079 2121 2222 2241 2727 2739 3333 3486 4158 4242 4482 5229 5454 5478 6363 6391 6666 7777 8217 8383 9999 10458 12726 12782 15554 15687 16434 16766 19089 19173 19998 23331 24651 25149 29997 31374 38178 38346 46662 49302 50298 57519 58681 59994 69993 75447 92213 115038 117362 139986 150894 172557 176043 184426 209979 226341 276639 345114 352086 419958 452682 528129 553278 645491 829917 1056258 1290982 1584387 1659834 1936473 2489751 3168774 3872946 4979502 5809419 11618838 17428257 34856514