Search a number
-
+
460230344 = 23723313547
BaseRepresentation
bin11011011011101…
…000111011001000
31012002000010100022
4123123220323020
51420304332334
6113400200012
714255615300
oct3333507310
91162003308
10460230344
11216873962
1210a169008
137446c362
14451a2600
152a60e82e
hex1b6e8ec8

460230344 has 48 divisors (see below), whose sum is σ = 1007135280. Its totient is φ = 196590240.

The previous prime is 460230317. The next prime is 460230349. The reversal of 460230344 is 443032064.

It is not an unprimeable number, because it can be changed into a prime (460230349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127979 + ... + 131525.

It is an arithmetic number, because the mean of its divisors is an integer number (20981985).

Almost surely, 2460230344 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 460230344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503567640).

460230344 is an abundant number, since it is smaller than the sum of its proper divisors (546904936).

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

460230344 is a wasteful number, since it uses less digits than its factorization.

460230344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 460230344 is about 21452.9798396400. The cubic root of 460230344 is about 772.0730912389.

The spelling of 460230344 in words is "four hundred sixty million, two hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 331 392 662 1324 2317 2648 3547 4634 7094 9268 14188 16219 18536 24829 28376 32438 49658 64876 99316 129752 173803 198632 347606 695212 1174057 1390424 2348114 4696228 8218399 9392456 16436798 32873596 57528793 65747192 115057586 230115172 460230344