Search a number
-
+
3380114160 = 243254694603
BaseRepresentation
bin1100100101111000…
…0111001011110000
322201120021120221100
43021132013023300
523410302123120
61315223324400
7146522332143
oct31136071360
98646246840
103380114160
111484a93885
127a3bb0700
1341b382667
14240cb205a
1514bb2a490
hexc97872f0

3380114160 has 60 divisors (see below), whose sum is σ = 11351552472. Its totient is φ = 901363584.

The previous prime is 3380114159. The next prime is 3380114191. The reversal of 3380114160 is 614110833.

3380114160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×33801141602 = 22850343469265011200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2346582 + ... + 2348021.

Almost surely, 23380114160 is an apocalyptic number.

3380114160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3380114160 is an abundant number, since it is smaller than the sum of its proper divisors (7971438312).

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

3380114160 is a wasteful number, since it uses less digits than its factorization.

3380114160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694622 (or 4694613 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3380114160 is about 58138.7492125519. The cubic root of 3380114160 is about 1500.7572709628.

Adding to 3380114160 its reverse (614110833), we get a palindrome (3994224993).

It can be divided in two parts, 33801 and 14160, that added together give a square (47961 = 2192).

The spelling of 3380114160 in words is "three billion, three hundred eighty million, one hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4694603 9389206 14083809 18778412 23473015 28167618 37556824 42251427 46946030 56335236 70419045 75113648 84502854 93892060 112670472 140838090 169005708 187784120 211257135 225340944 281676180 338011416 375568240 422514270 563352360 676022832 845028540 1126704720 1690057080 3380114160