Search a number
-
+
314210540 = 22572491653
BaseRepresentation
bin10010101110100…
…111100011101100
3210220020112211102
4102232213203230
51120414214130
651102342232
710533513500
oct2256474354
9726215742
10314210540
11151400036
128928a978
1350134cc7
142da32300
151c8b9645
hex12ba78ec

314210540 has 72 divisors (see below), whose sum is σ = 770312592. Its totient is φ = 107345280.

The previous prime is 314210539. The next prime is 314210551. The reversal of 314210540 is 45012413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480854 + ... + 481506.

It is an arithmetic number, because the mean of its divisors is an integer number (10698786).

Almost surely, 2314210540 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 314210540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385156296).

314210540 is an abundant number, since it is smaller than the sum of its proper divisors (456102052).

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

314210540 is a wasteful number, since it uses less digits than its factorization.

314210540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 314210540 is about 17725.9848809594. The cubic root of 314210540 is about 679.8403171763.

Adding to 314210540 its reverse (45012413), we get a palindrome (359222953).

The spelling of 314210540 in words is "three hundred fourteen million, two hundred ten thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 491 653 980 982 1306 1964 2455 2612 3265 3437 4571 4910 6530 6874 9142 9820 13060 13748 17185 18284 22855 24059 31997 34370 45710 48118 63994 68740 91420 96236 120295 127988 159985 240590 319970 320623 481180 639940 641246 1282492 1603115 2244361 3206230 4488722 6412460 8977444 11221805 15710527 22443610 31421054 44887220 62842108 78552635 157105270 314210540