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40354314 = 23711136719
BaseRepresentation
bin1001100111110…
…0001000001010
32210221012201020
42121330020022
540312314224
64000533310
71000002030
oct231741012
983835636
1040354314
1120862880
1211621236
13848bbc0
145506550
153821c79
hex267c20a

40354314 has 64 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 9673920.

The previous prime is 40354273. The next prime is 40354319. The reversal of 40354314 is 41345304.

It is not an unprimeable number, because it can be changed into a prime (40354319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2647 + ... + 9365.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 240354314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40354314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

40354314 is an abundant number, since it is smaller than the sum of its proper divisors (68025846).

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

40354314 is a wasteful number, since it uses less digits than its factorization.

40354314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 40354314 is about 6352.5045454529. The cubic root of 40354314 is about 343.0020031219.

Adding to 40354314 its reverse (41345304), we get a palindrome (81699618).

The spelling of 40354314 in words is "forty million, three hundred fifty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 6719 13438 20157 40314 47033 73909 87347 94066 141099 147818 174694 221727 262041 282198 443454 517363 524082 611429 960817 1034726 1222858 1552089 1834287 1921634 2882451 3104178 3668574 5764902 6725719 13451438 20177157 40354314