Search a number
-
+
104340012 = 22372612909
BaseRepresentation
bin1100011100000…
…01101000101100
321021100000120220
412032001220230
5203202340022
614204211340
72404606200
oct616015054
9237300526
10104340012
1153996217
122ab39b50
131880306a
14dc00b00
15926085c
hex6381a2c

104340012 has 72 divisors (see below), whose sum is σ = 287950320. Its totient is φ = 29312640.

The previous prime is 104340007. The next prime is 104340023. The reversal of 104340012 is 210043401.

It is a junction number, because it is equal to n+sod(n) for n = 104339973 and 104340000.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34414 + ... + 37322.

It is an arithmetic number, because the mean of its divisors is an integer number (3999310).

Almost surely, 2104340012 is an apocalyptic number.

104340012 is a gapful number since it is divisible by the number (12) 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 104340012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143975160).

104340012 is an abundant number, since it is smaller than the sum of its proper divisors (183610308).

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

104340012 is a wasteful number, since it uses less digits than its factorization.

104340012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 104340012 is about 10214.6958838724. The cubic root of 104340012 is about 470.7788685235.

Adding to 104340012 its reverse (210043401), we get a palindrome (314383413).

The spelling of 104340012 in words is "one hundred four million, three hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 366 427 588 732 854 1281 1708 2562 2909 2989 5124 5818 5978 8727 8967 11636 11956 17454 17934 20363 34908 35868 40726 61089 81452 122178 142541 177449 244356 285082 354898 427623 532347 570164 709796 855246 1064694 1242143 1710492 2129388 2484286 3726429 4968572 7452858 8695001 14905716 17390002 26085003 34780004 52170006 104340012