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930629238 = 2371131181359
BaseRepresentation
bin110111011110000…
…100011001110110
32101212010212022120
4313132010121312
53401220113423
6232202340410
732030134530
oct6736043166
92355125276
10930629238
11438352580
1221b7ba706
1311aa5bbb6
148b850850
1556a7bee3
hex37784676

930629238 has 128 divisors (see below), whose sum is σ = 2415329280. Its totient is φ = 231984000.

The previous prime is 930629233. The next prime is 930629257. The reversal of 930629238 is 832926039.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 930629238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930629233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2592103 + ... + 2592461.

It is an arithmetic number, because the mean of its divisors is an integer number (18869760).

Almost surely, 2930629238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930629238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207664640).

930629238 is an abundant number, since it is smaller than the sum of its proper divisors (1484700042).

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

930629238 is a wasteful number, since it uses less digits than its factorization.

930629238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594.

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 930629238 is about 30506.2163828948. The cubic root of 930629238 is about 976.3201011260.

The spelling of 930629238 in words is "nine hundred thirty million, six hundred twenty-nine thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 181 186 217 231 341 359 362 434 462 543 651 682 718 1023 1077 1086 1267 1302 1991 2046 2154 2387 2513 2534 3801 3949 3982 4774 5026 5611 5973 7161 7539 7602 7898 11129 11222 11847 11946 13937 14322 15078 16833 22258 23694 27643 27874 33387 33666 39277 41811 55286 61721 64979 66774 77903 78554 82929 83622 117831 122419 123442 129958 155806 165858 185163 194937 233709 235662 244838 367257 370326 389874 432047 454853 467418 714769 734514 856933 864094 909706 1296141 1364559 1429538 1713866 2014349 2144307 2570799 2592282 2729118 4028698 4288614 5003383 5141598 6043047 10006766 12086094 14100443 15010149 22157839 28200886 30020298 42301329 44315678 66473517 84602658 132947034 155104873 310209746 465314619 930629238