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4230440104 = 2311431278803
BaseRepresentation
bin1111110000100111…
…0110010010101000
3101220211022121211211
43330021312102220
532130443040404
61535441002504
7206556101422
oct37411662250
911824277754
104230440104
111880a782a0
129a0923434
135255a60c7
142c1bbb812
1519b5e3b04
hexfc2764a8

4230440104 has 64 divisors (see below), whose sum is σ = 8925143040. Its totient is φ = 1863207360.

The previous prime is 4230440101. The next prime is 4230440111. The reversal of 4230440104 is 4010440324.

4230440104 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 (22).

It is not an unprimeable number, because it can be changed into a prime (4230440101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476167 + ... + 484969.

It is an arithmetic number, because the mean of its divisors is an integer number (139455360).

Almost surely, 24230440104 is an apocalyptic number.

4230440104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4230440104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462571520).

4230440104 is an abundant number, since it is smaller than the sum of its proper divisors (4694702936).

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

4230440104 is a wasteful number, since it uses less digits than its factorization.

4230440104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8990 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4230440104 is about 65041.8334919919. The cubic root of 4230440104 is about 1617.3171190570.

Adding to 4230440104 its reverse (4010440324), we get a palindrome (8240880428).

The spelling of 4230440104 in words is "four billion, two hundred thirty million, four hundred forty thousand, one hundred four".

Divisors: 1 2 4 8 11 22 43 44 86 88 127 172 254 344 473 508 946 1016 1397 1892 2794 3784 5461 5588 8803 10922 11176 17606 21844 35212 43688 60071 70424 96833 120142 193666 240284 378529 387332 480568 757058 774664 1117981 1514116 2235962 3028232 4163819 4471924 8327638 8943848 12297791 16655276 24595582 33310552 48073183 49191164 96146366 98382328 192292732 384585464 528805013 1057610026 2115220052 4230440104