Search a number
-
+
316041360 = 24351936823
BaseRepresentation
bin10010110101100…
…110100010010000
3211000200120020120
4102311212202100
51121401310420
651205510240
710555210245
oct2265464220
9730616216
10316041360
11152440608
1289a12380
135062642b
142dd8b5cc
151cb2bd40
hex12d66890

316041360 has 80 divisors (see below), whose sum is σ = 984948864. Its totient is φ = 83828736.

The previous prime is 316041359. The next prime is 316041419. The reversal of 316041360 is 63140613.

It is a tau number, because it is divible by the number of its divisors (80).

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 316041360.

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, 42909 + ... + 49731.

Almost surely, 2316041360 is an apocalyptic number.

316041360 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 316041360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492474432).

316041360 is an abundant number, since it is smaller than the sum of its proper divisors (668907504).

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

316041360 is a wasteful number, since it uses less digits than its factorization.

316041360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 316041360 is about 17777.5521374569. The cubic root of 316041360 is about 681.1581762163.

Adding to 316041360 its reverse (63140613), we get a palindrome (379181973).

The spelling of 316041360 in words is "three hundred sixteen million, forty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 386 579 772 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 6823 7720 9264 11580 13646 15440 20469 23160 27292 34115 40938 46320 54584 68230 81876 102345 109168 136460 163752 204690 272920 327504 409380 545840 818760 1316839 1637520 2633678 3950517 5267356 6584195 7901034 10534712 13168390 15802068 19752585 21069424 26336780 31604136 39505170 52673560 63208272 79010340 105347120 158020680 316041360