Search a number
-
+
442345460 = 225191164067
BaseRepresentation
bin11010010111011…
…010011111110100
31010211100110220012
4122113122133310
51401220023320
6111520555352
713650605624
oct3227323764
91124313805
10442345460
11207768767
12104182b58
137084989b
1442a68884
1528c7a4c5
hex1a5da7f4

442345460 has 24 divisors (see below), whose sum is σ = 977817120. Its totient is φ = 167625504.

The previous prime is 442345451. The next prime is 442345487. The reversal of 442345460 is 64543244.

It is a super-2 number, since 2×4423454602 = 391339011965223200, 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 7 ways as a sum of consecutive naturals, for example, 581654 + ... + 582413.

It is an arithmetic number, because the mean of its divisors is an integer number (40742380).

Almost surely, 2442345460 is an apocalyptic number.

It is an amenable number.

442345460 is an abundant number, since it is smaller than the sum of its proper divisors (535471660).

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

442345460 is a wasteful number, since it uses less digits than its factorization.

442345460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164095 (or 1164093 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 442345460 is about 21032.0103651553. The cubic root of 442345460 is about 761.9395634562.

It can be divided in two parts, 44234 and 5460, that added together give a palindrome (49694).

The spelling of 442345460 in words is "four hundred forty-two million, three hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 1164067 2328134 4656268 5820335 11640670 22117273 23281340 44234546 88469092 110586365 221172730 442345460