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404310114 = 232132935897
BaseRepresentation
bin11000000110010…
…100100001100010
31001011210002012200
4120012110201202
51312000410424
6104041434030
713006402455
oct3006244142
91034702180
10404310114
1119824a19a
12b349b916
13659c0370
143b9a749c
15257658c9
hex18194862

404310114 has 48 divisors (see below), whose sum is σ = 946770552. Its totient is φ = 123957504.

The previous prime is 404310113. The next prime is 404310119. The reversal of 404310114 is 411013404.

It can be written as a sum of positive squares in 4 ways, for example, as 402684489 + 1625625 = 20067^2 + 1275^2 .

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 (404310113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65614 + ... + 71510.

Almost surely, 2404310114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404310114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473385276).

404310114 is an abundant number, since it is smaller than the sum of its proper divisors (542460438).

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

404310114 is a wasteful number, since it uses less digits than its factorization.

404310114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6211 (or 6208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 404310114 is about 20107.4641364842. The cubic root of 404310114 is about 739.4432834920.

Adding to 404310114 its reverse (411013404), we get a palindrome (815323518).

The spelling of 404310114 in words is "four hundred four million, three hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 293 586 879 1758 2637 3809 5274 5897 7618 11427 11794 17691 22854 34281 35382 53073 68562 76661 106146 153322 229983 459966 689949 1379898 1727821 3455642 5183463 10366926 15550389 22461673 31100778 44923346 67385019 134770038 202155057 404310114