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40618314 = 23311195961
BaseRepresentation
bin1001101011110…
…0100101001010
32211102121212000
42122330211022
540344241224
64010331430
71002151512
oct232744512
984377760
1040618314
1120a23160
1211729b76
138552109
145574842
1538750c9
hex26bc94a

40618314 has 128 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 11275200.

The previous prime is 40618309. The next prime is 40618327. The reversal of 40618314 is 41381604.

40618314 is a `hidden beast` number, since 40 + 618 + 3 + 1 + 4 = 666.

40618314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665844 + ... + 665904.

It is an arithmetic number, because the mean of its divisors is an integer number (837000).

Almost surely, 240618314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40618314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

40618314 is an abundant number, since it is smaller than the sum of its proper divisors (66517686).

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

40618314 is a wasteful number, since it uses less digits than its factorization.

40618314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40618314 is about 6373.2498774173. The cubic root of 40618314 is about 343.7483568406.

Adding to 40618314 its reverse (41381604), we get a palindrome (81999918).

The spelling of 40618314 in words is "forty million, six hundred eighteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 59 61 66 99 114 118 122 171 177 183 198 209 297 342 354 366 418 513 531 549 594 627 649 671 1026 1062 1098 1121 1159 1254 1298 1342 1593 1647 1881 1947 2013 2242 2318 3186 3294 3363 3477 3599 3762 3894 4026 5643 5841 6039 6726 6954 7198 10089 10431 10797 11286 11682 12078 12331 12749 17523 18117 20178 20862 21594 24662 25498 30267 31293 32391 35046 36234 36993 38247 39589 60534 62586 64782 68381 73986 76494 79178 97173 110979 114741 118767 136762 194346 205143 221958 229482 237534 332937 344223 356301 410286 615429 665874 688446 712602 752191 1068903 1230858 1504382 1846287 2137806 2256573 3692574 4513146 6769719 13539438 20309157 40618314