Search a number
-
+
1670468382 = 232111729109157
BaseRepresentation
bin110001110010001…
…0101001100011110
311022102021120211100
41203210111030132
511410114442012
6433431533530
756252514132
oct14344251436
94272246740
101670468382
11787a32690
123a752a2a6
1320810983b
1411bbd93c2
159b9bd8dc
hex6391531e

1670468382 has 192 divisors, whose sum is σ = 4392273600. Its totient is φ = 452874240.

The previous prime is 1670468329. The next prime is 1670468383. The reversal of 1670468382 is 2838640761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1670468383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10639848 + ... + 10640004.

It is an arithmetic number, because the mean of its divisors is an integer number (22876425).

Almost surely, 21670468382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1670468382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196136800).

1670468382 is an abundant number, since it is smaller than the sum of its proper divisors (2721805218).

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

1670468382 is a wasteful number, since it uses less digits than its factorization.

1670468382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1670468382 is about 40871.3638382670. The cubic root of 1670468382 is about 1186.5319033127.

The spelling of 1670468382 in words is "one billion, six hundred seventy million, four hundred sixty-eight thousand, three hundred eighty-two".