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990823344 = 243759151331
BaseRepresentation
bin111011000011101…
…100001110110000
32120001102001002220
4323003230032300
54012122321334
6242152441040
733360600540
oct7303541660
92501361086
10990823344
11469326275
122379a9180
1312a376304
149583d320
155bebc449
hex3b0ec3b0

990823344 has 160 divisors (see below), whose sum is σ = 3003617280. Its totient is φ = 275616000.

The previous prime is 990823331. The next prime is 990823369. The reversal of 990823344 is 443328099.

It is a happy number.

990823344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 990823296 and 990823305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2993259 + ... + 2993589.

It is an arithmetic number, because the mean of its divisors is an integer number (18772608).

Almost surely, 2990823344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990823344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501808640).

990823344 is an abundant number, since it is smaller than the sum of its proper divisors (2012793936).

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

990823344 is a wasteful number, since it uses less digits than its factorization.

990823344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 990823344 is about 31477.3465209506. The cubic root of 990823344 is about 996.9317098912.

The spelling of 990823344 in words is "nine hundred ninety million, eight hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 151 168 177 236 302 331 336 354 413 453 472 604 662 708 826 906 944 993 1057 1208 1239 1324 1416 1652 1812 1986 2114 2317 2416 2478 2648 2832 3171 3304 3624 3972 4228 4634 4956 5296 6342 6608 6951 7248 7944 8456 8909 9268 9912 12684 13902 15888 16912 17818 18536 19529 19824 25368 26727 27804 35636 37072 39058 49981 50736 53454 55608 58587 62363 71272 78116 99962 106908 111216 117174 124726 136703 142544 149943 156232 187089 199924 213816 234348 249452 273406 299886 312464 349867 374178 399848 410109 427632 468696 498904 546812 599772 699734 748356 799696 820218 937392 997808 1049601 1093624 1199544 1399468 1496712 1640436 2099202 2187248 2399088 2798936 2948879 2993424 3280872 4198404 5597872 5897758 6561744 8396808 8846637 11795516 16793616 17693274 20642153 23591032 35386548 41284306 47182064 61926459 70773096 82568612 123852918 141546192 165137224 247705836 330274448 495411672 990823344