Search a number
-
+
3484860288 = 273713313217
BaseRepresentation
bin1100111110110110…
…1011111110000000
322222212101020121120
43033231223332000
524114111012123
61333444352240
7152233552350
oct31755537600
98885336546
103484860288
111529127128
128130a5680
13436c98510
14250b7ab60
15155e1b2e3
hexcfb6bf80

3484860288 has 256 divisors, whose sum is σ = 11763978240. Its totient is φ = 889159680.

The previous prime is 3484860283. The next prime is 3484860289. The reversal of 3484860288 is 8820684843.

It is a self number, because there is not a number n which added to its sum of digits gives 3484860288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484860283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1081656 + ... + 1084872.

It is an arithmetic number, because the mean of its divisors is an integer number (45953040).

Almost surely, 23484860288 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 3484860288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881989120).

3484860288 is an abundant number, since it is smaller than the sum of its proper divisors (8279117952).

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

3484860288 is a wasteful number, since it uses less digits than its factorization.

3484860288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The square root of 3484860288 is about 59032.7052404004. The cubic root of 3484860288 is about 1516.1021273759.

The spelling of 3484860288 in words is "three billion, four hundred eighty-four million, eight hundred sixty thousand, two hundred eighty-eight".