Search a number
-
+
2380208964 = 22371719372371
BaseRepresentation
bin1000110111011111…
…0001101101000100
320010212210010212120
42031313301231010
514333313141324
61032104045540
7112661304510
oct21567615504
96125703776
102380208964
111011625251
125651638b0
132bc179693
1418818b140
15dde67179
hex8ddf1b44

2380208964 has 192 divisors, whose sum is σ = 7268567040. Its totient is φ = 589731840.

The previous prime is 2380208917. The next prime is 2380209031. The reversal of 2380208964 is 4698020832.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1002699 + ... + 1005069.

It is an arithmetic number, because the mean of its divisors is an integer number (37857120).

Almost surely, 22380208964 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 2380208964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634283520).

2380208964 is an abundant number, since it is smaller than the sum of its proper divisors (4888358076).

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

2380208964 is a wasteful number, since it uses less digits than its factorization.

2380208964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2380208964 is about 48787.3852957914. The cubic root of 2380208964 is about 1335.1755232190.

The spelling of 2380208964 in words is "two billion, three hundred eighty million, two hundred eight thousand, nine hundred sixty-four".