Search a number
-
+
2381604128 = 2586272
BaseRepresentation
bin1000110111110100…
…0110010100100000
320010222102000200022
42031331012110200
514334142313003
61032154013012
7113006205161
oct21575062440
96128360608
102381604128
111012398482
12565717168
132bc547717
14188431768
15de140738
hex8df46520

2381604128 has 18 divisors (see below), whose sum is σ = 4689326691. Its totient is φ = 1190664032.

The previous prime is 2381604119. The next prime is 2381604217. The reversal of 2381604128 is 8214061832.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1190802064 + 1190802064 = 34508^2 + 34508^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=34508.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 271751 + ... + 280377.

Almost surely, 22381604128 is an apocalyptic number.

It is an amenable number.

2381604128 is a deficient number, since it is larger than the sum of its proper divisors (2307722563).

2381604128 is an frugal number, since it uses more digits than its factorization.

2381604128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17264 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 2381604128 is about 48801.6816103708. The cubic root of 2381604128 is about 1335.4363441541.

Multiplying 2381604128 by its product of nonzero digits (18432), we get a square (43897727287296 = 66255362).

The spelling of 2381604128 in words is "two billion, three hundred eighty-one million, six hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 8627 17254 34508 69016 138032 276064 74425129 148850258 297700516 595401032 1190802064 2381604128