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104311314 = 2345312149
BaseRepresentation
bin1100011011110…
…10101000010010
321021021120020000
412031322220102
5203200430224
614203430430
72404426422
oct615725022
9237246200
10104311314
11539766a8
122ab25416
13187c2c93
14dbd4482
1592570c9
hex637aa12

104311314 has 40 divisors (see below), whose sum is σ = 238164300. Its totient is φ = 34111584.

The previous prime is 104311313. The next prime is 104311321. The reversal of 104311314 is 413113401.

It can be written as a sum of positive squares in 2 ways, for example, as 85100625 + 19210689 = 9225^2 + 4383^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104311313) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2512 + ... + 14660.

Almost surely, 2104311314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104311314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119082150).

104311314 is an abundant number, since it is smaller than the sum of its proper divisors (133852986).

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

104311314 is a wasteful number, since it uses less digits than its factorization.

104311314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12216 (or 12207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104311314 is about 10213.2910464747. The cubic root of 104311314 is about 470.7357030732.

Adding to 104311314 its reverse (413113401), we get a palindrome (517424715).

The spelling of 104311314 in words is "one hundred four million, three hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2862 4293 8586 12149 24298 36447 72894 109341 218682 328023 643897 656046 984069 1287794 1931691 1968138 3863382 5795073 11590146 17385219 34770438 52155657 104311314