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318952242 = 23473143211
BaseRepresentation
bin10011000000101…
…101001100110010
3211020011110020000
4103000231030302
51123122432432
651352130430
710622022630
oct2300551462
9736143200
10318952242
111540495a4
128a996a16
135110534b
1430508350
151d00457c
hex1302d332

318952242 has 160 divisors (see below), whose sum is σ = 866832384. Its totient is φ = 85730400.

The previous prime is 318952241. The next prime is 318952253. The reversal of 318952242 is 242259813.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 318952197 and 318952206.

It is not an unprimeable number, because it can be changed into a prime (318952241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1511517 + ... + 1511727.

Almost surely, 2318952242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318952242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433416192).

318952242 is an abundant number, since it is smaller than the sum of its proper divisors (547880142).

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

318952242 is a wasteful number, since it uses less digits than its factorization.

318952242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 318952242 is about 17859.2340821212. The cubic root of 318952242 is about 683.2430453516.

The spelling of 318952242 in words is "three hundred eighteen million, nine hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 43 54 62 63 81 86 93 126 129 162 186 189 211 217 258 279 301 378 387 422 434 558 567 602 633 651 774 837 903 1134 1161 1266 1302 1333 1477 1674 1806 1899 1953 2322 2511 2666 2709 2954 3483 3798 3906 3999 4431 5022 5418 5697 5859 6541 6966 7998 8127 8862 9073 9331 11394 11718 11997 13082 13293 16254 17091 17577 18146 18662 19623 23994 24381 26586 27219 27993 34182 35154 35991 39246 39879 45787 48762 54438 55986 58869 63511 71982 79758 81657 83979 91574 107973 117738 119637 127022 137361 163314 167958 176607 190533 215946 239274 244971 251937 274722 281263 353214 381066 412083 489942 503874 529821 562526 571599 734913 755811 824166 843789 1059642 1143198 1236249 1469826 1511622 1687578 1714797 1968841 2472498 2531367 3429594 3708747 3937682 5062734 5144391 5906523 7417494 7594101 10288782 11813046 15188202 17719569 22782303 35439138 45564606 53158707 106317414 159476121 318952242