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316319904 = 2535192141
BaseRepresentation
bin10010110110101…
…010100010100000
3211001012201100000
4102312222202200
51121434214104
651215500000
710560450315
oct2266524240
9731181300
10316319904
1115261090a
1289b27600
13506c3154
1430020d0c
151cb84639
hex12daa8a0

316319904 has 144 divisors (see below), whose sum is σ = 982406880. Its totient is φ = 99843840.

The previous prime is 316319891. The next prime is 316319909. The reversal of 316319904 is 409913613.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (316319909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146674 + ... + 148814.

It is an arithmetic number, because the mean of its divisors is an integer number (6822270).

Almost surely, 2316319904 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 316319904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491203440).

316319904 is an abundant number, since it is smaller than the sum of its proper divisors (666086976).

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

316319904 is a wasteful number, since it uses less digits than its factorization.

316319904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 316319904 is about 17785.3845614876. The cubic root of 316319904 is about 681.3582310550.

The spelling of 316319904 in words is "three hundred sixteen million, three hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 243 288 304 324 342 432 456 486 513 608 648 684 864 912 972 1026 1296 1368 1539 1824 1944 2052 2141 2592 2736 3078 3888 4104 4282 4617 5472 6156 6423 7776 8208 8564 9234 12312 12846 16416 17128 18468 19269 24624 25692 34256 36936 38538 40679 49248 51384 57807 68512 73872 77076 81358 102768 115614 122037 147744 154152 162716 173421 205536 231228 244074 308304 325432 346842 366111 462456 488148 520263 616608 650864 693684 732222 924912 976296 1040526 1098333 1301728 1387368 1464444 1849824 1952592 2081052 2196666 2774736 2928888 3294999 3905184 4162104 4393332 5549472 5857776 6589998 8324208 8786664 9884997 11715552 13179996 16648416 17573328 19769994 26359992 35146656 39539988 52719984 79079976 105439968 158159952 316319904