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344115360420 = 223513463995101
BaseRepresentation
bin1010000000111101101…
…11111011001010100100
31012220012222202112102220
411000132313323022210
521114222013013140
6422030122232340
733601333205436
oct5003667731244
91186188675386
10344115360420
11122a36171557
12568376556b0
13265b0693a80
14129260d2656
158e40606bd0
hex501edfb2a4

344115360420 has 96 divisors (see below), whose sum is σ = 1037874754560. Its totient is φ = 84686169600.

The previous prime is 344115360367. The next prime is 344115360473. The reversal of 344115360420 is 24063511443.

It is a happy number.

344115360420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (344115360367) and next prime (344115360473).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3570870 + ... + 3665970.

It is an arithmetic number, because the mean of its divisors is an integer number (10811195360).

Almost surely, 2344115360420 is an apocalyptic number.

344115360420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344115360420 is an abundant number, since it is smaller than the sum of its proper divisors (693759394140).

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

344115360420 is a wasteful number, since it uses less digits than its factorization.

344115360420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99765 (or 99763 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 344115360420 its reverse (24063511443), we get a palindrome (368178871863).

The spelling of 344115360420 in words is "three hundred forty-four billion, one hundred fifteen million, three hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 4639 9278 13917 18556 23195 27834 46390 55668 60307 69585 92780 95101 120614 139170 180921 190202 241228 278340 285303 301535 361842 380404 475505 570606 603070 723684 904605 951010 1141212 1206140 1236313 1426515 1809210 1902020 2472626 2853030 3618420 3708939 4945252 5706060 6181565 7417878 12363130 14835756 18544695 24726260 37089390 74178780 441173539 882347078 1323520617 1764694156 2205867695 2647041234 4411735390 5294082468 5735256007 6617603085 8823470780 11470512014 13235206170 17205768021 22941024028 26470412340 28676280035 34411536042 57352560070 68823072084 86028840105 114705120140 172057680210 344115360420