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114345036 = 223213263929
BaseRepresentation
bin1101101000011…
…00010001001100
321222011022220100
412310030101030
5213233020121
615202451100
72555626311
oct664142114
9258138810
10114345036
11595aa133
1232363a90
131a8c6cb0
1411286d08
15a08a026
hex6d0c44c

114345036 has 72 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 35011584.

The previous prime is 114345001. The next prime is 114345037. The reversal of 114345036 is 630543411.

It is not an unprimeable number, because it can be changed into a prime (114345037) by changing a digit.

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, 122620 + ... + 123548.

It is an arithmetic number, because the mean of its divisors is an integer number (4344340).

Almost surely, 2114345036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114345036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

114345036 is an abundant number, since it is smaller than the sum of its proper divisors (198447444).

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

114345036 is a wasteful number, since it uses less digits than its factorization.

114345036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 114345036 is about 10693.2238356821. The cubic root of 114345036 is about 485.3694510231.

Adding to 114345036 its reverse (630543411), we get a palindrome (744888447).

The spelling of 114345036 in words is "one hundred fourteen million, three hundred forty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 263 468 526 789 929 1052 1578 1858 2367 2787 3156 3419 3716 4734 5574 6838 8361 9468 10257 11148 12077 13676 16722 20514 24154 30771 33444 36231 41028 48308 61542 72462 108693 123084 144924 217386 244327 434772 488654 732981 977308 1465962 2198943 2931924 3176251 4397886 6352502 8795772 9528753 12705004 19057506 28586259 38115012 57172518 114345036