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990358320 = 243571394241
BaseRepresentation
bin111011000001111…
…010101100110000
32120000112102012210
4323001322230300
54012012431240
6242134452120
733353623020
oct7301725460
92500472183
10990358320
11469038956
12237804040
1312a242753
149575ba80
155be29780
hex3b07ab30

990358320 has 160 divisors (see below), whose sum is σ = 3534773760. Its totient is φ = 224686080.

The previous prime is 990358309. The next prime is 990358379. The reversal of 990358320 is 23853099.

990358320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 231400 + ... + 235640.

It is an arithmetic number, because the mean of its divisors is an integer number (22092336).

Almost surely, 2990358320 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 990358320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767386880).

990358320 is an abundant number, since it is smaller than the sum of its proper divisors (2544415440).

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

990358320 is a wasteful number, since it uses less digits than its factorization.

990358320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 990358320 is about 31469.9590085529. The cubic root of 990358320 is about 996.7757218704.

The spelling of 990358320 in words is "nine hundred ninety million, three hundred fifty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 139 140 168 210 240 278 280 336 417 420 556 560 695 834 840 973 1112 1390 1668 1680 1946 2085 2224 2780 2919 3336 3892 4170 4241 4865 5560 5838 6672 7784 8340 8482 9730 11120 11676 12723 14595 15568 16680 16964 19460 21205 23352 25446 29190 29687 33360 33928 38920 42410 46704 50892 58380 59374 63615 67856 77840 84820 89061 101784 116760 118748 127230 148435 169640 178122 203568 233520 237496 254460 296870 339280 356244 445305 474992 508920 589499 593740 712488 890610 1017840 1178998 1187480 1424976 1768497 1781220 2357996 2374960 2947495 3536994 3562440 4126493 4715992 5894990 7073988 7124880 8252986 8842485 9431984 11789980 12379479 14147976 16505972 17684970 20632465 23579960 24758958 28295952 33011944 35369940 41264930 47159920 49517916 61897395 66023888 70739880 82529860 99035832 123794790 141479760 165059720 198071664 247589580 330119440 495179160 990358320