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244014160 = 24513234629
BaseRepresentation
bin11101000101101…
…01110001010000
3122000011012111111
432202311301100
5444431423120
640114023104
76022041355
oct1642656120
9560135444
10244014160
111158154a5
1269877a94
133b727ca0
142459c62c
151665075a
hexe8b5c50

244014160 has 40 divisors (see below), whose sum is σ = 610976520. Its totient is φ = 90097152.

The previous prime is 244014103. The next prime is 244014161. The reversal of 244014160 is 61410442.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 243609664 = 636^2 + 15608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244014161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116275 + ... + 118354.

It is an arithmetic number, because the mean of its divisors is an integer number (15274413).

Almost surely, 2244014160 is an apocalyptic number.

244014160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244014160 is an abundant number, since it is smaller than the sum of its proper divisors (366962360).

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

244014160 is a wasteful number, since it uses less digits than its factorization.

244014160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234655 (or 234649 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 244014160 is about 15620.9525957926. The cubic root of 244014160 is about 624.8920645610.

It can be divided in two parts, 24401 and 4160, that added together give a 4-th power (28561 = 134).

The spelling of 244014160 in words is "two hundred forty-four million, fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 234629 469258 938516 1173145 1877032 2346290 3050177 3754064 4692580 6100354 9385160 12200708 15250885 18770320 24401416 30501770 48802832 61003540 122007080 244014160