Search a number
-
+
316411460 = 225232923719
BaseRepresentation
bin10010110111000…
…000111001000100
3211001101100220222
4102313000321010
51122000131320
651221443512
710561311251
oct2267007104
9731340828
10316411460
11152673682
1289b70598
1350725a21
1430046428
151cba1825
hex12dc0e44

316411460 has 48 divisors (see below), whose sum is σ = 717292800. Its totient is φ = 116882304.

The previous prime is 316411439. The next prime is 316411493. The reversal of 316411460 is 64114613.

316411460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1481 + ... + 25199.

It is an arithmetic number, because the mean of its divisors is an integer number (14943600).

Almost surely, 2316411460 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 316411460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358646400).

316411460 is an abundant number, since it is smaller than the sum of its proper divisors (400881340).

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

316411460 is a wasteful number, since it uses less digits than its factorization.

316411460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23780 (or 23778 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 316411460 is about 17787.9582864364. The cubic root of 316411460 is about 681.4239624192.

The spelling of 316411460 in words is "three hundred sixteen million, four hundred eleven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 13340 23719 47438 94876 118595 237190 474380 545537 687851 1091074 1375702 2182148 2727685 2751404 3439255 5455370 6878510 10910740 13757020 15820573 31641146 63282292 79102865 158205730 316411460