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930630393 = 3272111923439
BaseRepresentation
bin110111011110000…
…100101011111001
32101212010220220100
4313132010223321
53401220133033
6232202350013
732030141100
oct6736045371
92355126810
10930630393
11438353430
1221b7bb309
1311aa5c594
148b851037
1556a7c513
hex37784af9

930630393 has 144 divisors (see below), whose sum is σ = 1877990400. Its totient is φ = 437088960.

The previous prime is 930630391. The next prime is 930630397. The reversal of 930630393 is 393036039.

It is not a de Polignac number, because 930630393 - 21 = 930630391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930630391) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2119668 + ... + 2120106.

It is an arithmetic number, because the mean of its divisors is an integer number (13041600).

Almost surely, 2930630393 is an apocalyptic number.

It is an amenable number.

930630393 is an abundant number, since it is smaller than the sum of its proper divisors (947360007).

930630393 is a wasteful number, since it uses less digits than its factorization.

930630393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 36.

The square root of 930630393 is about 30506.2353134568. The cubic root of 930630393 is about 976.3205050280.

The spelling of 930630393 in words is "nine hundred thirty million, six hundred thirty thousand, three hundred ninety-three".

Divisors: 1 3 7 9 11 19 21 23 33 49 57 63 69 77 99 133 147 161 171 207 209 231 253 399 437 439 441 483 539 627 693 759 931 1127 1197 1311 1317 1449 1463 1617 1771 1881 2277 2793 3059 3073 3381 3933 3951 4389 4807 4829 4851 5313 8341 8379 9177 9219 10097 10143 10241 12397 13167 14421 14487 15939 21413 21511 25023 27531 27657 30291 30723 33649 33803 37191 43263 43461 58387 64239 64533 70679 75069 90873 91751 92169 100947 101409 111067 111573 175161 191843 192717 193599 212037 235543 236621 275253 302841 304227 333201 408709 494753 525483 575529 636111 642257 706629 709863 777469 825759 999603 1226127 1342901 1484259 1726587 1926771 2110273 2119887 2129589 2332407 3678381 4028703 4452777 4495799 5442283 5780313 6330819 6997221 9400307 12086109 13487397 14771911 16326849 18992457 28200921 40462191 44315733 48980547 84602763 103403377 132947199 310210131 930630393