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942968385 = 34519315967
BaseRepresentation
bin111000001101001…
…000111001000001
32102201100202110000
4320031020321001
53412344442020
6233323030213
732240045652
oct7015107101
92381322400
10942968385
11444310117
1222396b369
1312048c378
148d343529
1557bb8090
hex38348e41

942968385 has 160 divisors (see below), whose sum is σ = 1895731200. Its totient is φ = 446497920.

The previous prime is 942968381. The next prime is 942968387. The reversal of 942968385 is 583869249.

It is not a de Polignac number, because 942968385 - 22 = 942968381 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (942968381) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14074122 + ... + 14074188.

It is an arithmetic number, because the mean of its divisors is an integer number (11848320).

Almost surely, 2942968385 is an apocalyptic number.

942968385 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

942968385 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

942968385 is a wasteful number, since it uses less digits than its factorization.

942968385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 942968385 is about 30707.7902982289. The cubic root of 942968385 is about 980.6161559768.

The spelling of 942968385 in words is "nine hundred forty-two million, nine hundred sixty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 19 27 31 45 57 59 67 81 93 95 135 155 171 177 201 279 285 295 335 405 465 513 531 589 603 837 855 885 1005 1121 1273 1395 1539 1593 1767 1809 1829 2077 2511 2565 2655 2945 3015 3363 3819 3953 4185 4779 5301 5427 5487 5605 6231 6365 7695 7965 8835 9045 9145 10089 10385 11457 11859 12555 15903 16461 16815 18693 19095 19765 23895 26505 27135 27435 30267 31155 34371 34751 35577 39463 47709 49383 50445 56079 57285 59295 75107 79515 82305 90801 93465 103113 104253 106731 118389 122543 148149 151335 168237 171855 173755 177885 197315 225321 238545 246915 280395 312759 320193 355167 367629 375535 454005 515565 521265 533655 591945 612715 675963 740745 841185 938277 1065501 1102887 1126605 1563795 1600965 1775835 1838145 2027889 2328317 2814831 3196503 3308661 3379815 4691385 5327505 5514435 6083667 6984951 9925983 10139445 11641585 14074155 15982515 16543305 20954853 30418335 34924755 49629915 62864559 104774265 188593677 314322795 942968385