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316428966 = 232723171163
BaseRepresentation
bin10010110111000…
…101001010100110
3211001102020221100
4102313011022212
51122001211331
651222100530
710561413300
oct2267051246
9731366840
10316428966
11152685847
1289b7a746
1350730999
143004c970
151cba6ae6
hex12dc52a6

316428966 has 144 divisors (see below), whose sum is σ = 839973888. Its totient is φ = 85730400.

The previous prime is 316428949. The next prime is 316428989. The reversal of 316428966 is 669824613.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1941201 + ... + 1941363.

It is an arithmetic number, because the mean of its divisors is an integer number (5833152).

Almost surely, 2316428966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316428966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419986944).

316428966 is an abundant number, since it is smaller than the sum of its proper divisors (523544922).

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

316428966 is a wasteful number, since it uses less digits than its factorization.

316428966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 316428966 is about 17788.4503540921. The cubic root of 316428966 is about 681.4365291658.

The spelling of 316428966 in words is "three hundred sixteen million, four hundred twenty-eight thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 71 93 98 126 142 147 163 186 213 217 279 294 326 426 434 441 489 497 558 639 651 882 978 994 1141 1278 1302 1467 1491 1519 1953 2201 2282 2934 2982 3038 3423 3479 3906 4402 4473 4557 5053 6603 6846 6958 7987 8946 9114 10106 10269 10437 11573 13206 13671 15159 15407 15974 19809 20538 20874 23146 23961 27342 30318 30814 31311 34719 35371 39618 45477 46221 47922 62622 69438 70742 71883 81011 90954 92442 104157 106113 107849 138663 143766 162022 208314 212226 215698 243033 247597 277326 318339 323547 358763 486066 495194 567077 636678 647094 717526 729099 742791 970641 1076289 1134154 1458198 1485582 1701231 1941282 2152578 2228373 2511341 3228867 3402462 4456746 5022682 5103693 6457734 7534023 10207386 15068046 17579387 22602069 35158774 45204138 52738161 105476322 158214483 316428966