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838338930 = 2335111321713
BaseRepresentation
bin110001111110000…
…000100101110010
32011102111000211000
4301332000211302
53204103321210
6215104302430
726526522552
oct6176004562
92142430730
10838338930
113a02474a0
121b4911a16
131048b7650
147d4a9162
154d8ebac0
hex31f80972

838338930 has 128 divisors (see below), whose sum is σ = 2626525440. Its totient is φ = 187591680.

The previous prime is 838338923. The next prime is 838338973. The reversal of 838338930 is 39833838.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27754 + ... + 49466.

It is an arithmetic number, because the mean of its divisors is an integer number (20519730).

It is the magic constant of a 1188 × 1188 magic square.

Almost surely, 2838338930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838338930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313262720).

838338930 is an abundant number, since it is smaller than the sum of its proper divisors (1788186510).

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

838338930 is a wasteful number, since it uses less digits than its factorization.

838338930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21753 (or 21747 counting only the distinct ones).

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

The square root of 838338930 is about 28954.0831317450. The cubic root of 838338930 is about 942.9164475684.

The spelling of 838338930 in words is "eight hundred thirty-eight million, three hundred thirty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 270 286 297 330 351 390 429 495 585 594 702 715 858 990 1170 1287 1430 1485 1755 2145 2574 2970 3510 3861 4290 6435 7722 12870 19305 21713 38610 43426 65139 108565 130278 195417 217130 238843 282269 325695 390834 477686 564538 586251 651390 716529 846807 977085 1172502 1194215 1411345 1433058 1693614 1954170 2149587 2388430 2540421 2822690 2931255 3104959 3582645 4234035 4299174 5080842 5862510 6209918 6448761 7165290 7621263 8468070 9314877 10747935 12702105 12897522 15242526 15524795 18629754 21495870 25404210 27944631 31049590 32243805 38106315 46574385 55889262 64487610 76212630 83833893 93148770 139723155 167667786 279446310 419169465 838338930