[go: up one dir, main page]

Search a number
-
+
316422240 = 2535679839
BaseRepresentation
bin10010110111000…
…011100001100000
3211001101220201020
4102313003201200
51122001002430
651222005440
710561354551
oct2267034140
9731356636
10316422240
11152680792
1289b76880
135072a8c4
143004a328
151cba4b10
hex12dc3860

316422240 has 96 divisors (see below), whose sum is σ = 1011709440. Its totient is φ = 83111424.

The previous prime is 316422233. The next prime is 316422263. The reversal of 316422240 is 42224613.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 316422240.

It is a congruent number.

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, 27241 + ... + 37079.

It is an arithmetic number, because the mean of its divisors is an integer number (10538640).

Almost surely, 2316422240 is an apocalyptic number.

316422240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505854720).

316422240 is an abundant number, since it is smaller than the sum of its proper divisors (695287200).

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

316422240 is a wasteful number, since it uses less digits than its factorization.

316422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9924 (or 9916 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 316422240 is about 17788.2612978335. The cubic root of 316422240 is about 681.4317009368.

Adding to 316422240 its reverse (42224613), we get a palindrome (358646853).

The spelling of 316422240 in words is "three hundred sixteen million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 804 1005 1072 1340 1608 2010 2144 2680 3216 4020 5360 6432 8040 9839 10720 16080 19678 29517 32160 39356 49195 59034 78712 98390 118068 147585 157424 196780 236136 295170 314848 393560 472272 590340 659213 787120 944544 1180680 1318426 1574240 1977639 2361360 2636852 3296065 3955278 4722720 5273704 6592130 7910556 9888195 10547408 13184260 15821112 19776390 21094816 26368520 31642224 39552780 52737040 63284448 79105560 105474080 158211120 316422240