Search a number
-
+
108268314 = 23711232443
BaseRepresentation
bin1100111010000…
…00101100011010
321112201121012120
412131000230122
5210204041224
614424322110
72453160030
oct635005432
9245647176
10108268314
1156129650
1230313336
131957a0bb
1410544550
159789779
hex6740b1a

108268314 has 96 divisors (see below), whose sum is σ = 282852864. Its totient is φ = 26838240.

The previous prime is 108268313. The next prime is 108268357. The reversal of 108268314 is 413862801.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (108268313) 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, 244177 + ... + 244619.

It is an arithmetic number, because the mean of its divisors is an integer number (2946384).

Almost surely, 2108268314 is an apocalyptic number.

108268314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108268314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141426432).

108268314 is an abundant number, since it is smaller than the sum of its proper divisors (174584550).

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

108268314 is a wasteful number, since it uses less digits than its factorization.

108268314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 108268314 is about 10405.2061007940. The cubic root of 108268314 is about 476.6143616028.

It can be divided in two parts, 1082 and 68314, that added together give a palindrome (69396).

The spelling of 108268314 in words is "one hundred eight million, two hundred sixty-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 443 462 483 506 529 759 886 966 1058 1329 1518 1587 1771 2658 3101 3174 3542 3703 4873 5313 5819 6202 7406 9303 9746 10189 10626 11109 11638 14619 17457 18606 20378 22218 29238 30567 34111 34914 40733 61134 68222 71323 81466 102333 112079 122199 142646 204666 213969 224158 234347 244398 336237 427938 468694 672474 703041 784553 1406082 1569106 1640429 2353659 2577817 3280858 4707318 4921287 5155634 7733451 9842574 15466902 18044719 36089438 54134157 108268314