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993303204 = 2231915727749
BaseRepresentation
bin111011001101001…
…001101010100100
32120020002000211120
4323031021222210
54013241200304
6242321533540
733420636465
oct7315115244
92506060746
10993303204
1146a76a443
122387a42b0
1312aa33c9a
1495cc6d6c
155c30c0d9
hex3b349aa4

993303204 has 48 divisors (see below), whose sum is σ = 2455320000. Its totient is φ = 311665536.

The previous prime is 993303197. The next prime is 993303229. The reversal of 993303204 is 402303399.

993303204 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 15 ways as a sum of consecutive naturals, for example, 21922 + ... + 49670.

It is an arithmetic number, because the mean of its divisors is an integer number (51152500).

Almost surely, 2993303204 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 993303204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227660000).

993303204 is an abundant number, since it is smaller than the sum of its proper divisors (1462016796).

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

993303204 is a wasteful number, since it uses less digits than its factorization.

993303204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27932 (or 27930 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 993303204 is about 31516.7130900416. The cubic root of 993303204 is about 997.7627330360.

The spelling of 993303204 in words is "nine hundred ninety-three million, three hundred three thousand, two hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 157 228 314 471 628 942 1884 2983 5966 8949 11932 17898 27749 35796 55498 83247 110996 166494 332988 527231 1054462 1581693 2108924 3163386 4356593 6326772 8713186 13069779 17426372 26139558 52279116 82775267 165550534 248325801 331101068 496651602 993303204