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993343248 = 243254712611
BaseRepresentation
bin111011001101010…
…011011100010000
32120020011001202200
4323031103130100
54013243440443
6242322443200
733421164312
oct7315233420
92506131680
10993343248
1146a797537
12238803500
1312aa49291
1495cd77b2
155c318dd3
hex3b353710

993343248 has 60 divisors (see below), whose sum is σ = 2785284528. Its totient is φ = 330482880.

The previous prime is 993343243. The next prime is 993343249. The reversal of 993343248 is 842343399.

993343248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (993343243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72463 + ... + 85073.

Almost surely, 2993343248 is an apocalyptic number.

It is an amenable number.

993343248 is an abundant number, since it is smaller than the sum of its proper divisors (1791941280).

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

993343248 is a wasteful number, since it uses less digits than its factorization.

993343248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13172 (or 13163 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 993343248 is about 31517.3483656224. The cubic root of 993343248 is about 997.7761407829.

The spelling of 993343248 in words is "nine hundred ninety-three million, three hundred forty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 547 1094 1641 2188 3282 4376 4923 6564 8752 9846 12611 13128 19692 25222 26256 37833 39384 50444 75666 78768 100888 113499 151332 201776 226998 302664 453996 605328 907992 1815984 6898217 13796434 20694651 27592868 41389302 55185736 62083953 82778604 110371472 124167906 165557208 248335812 331114416 496671624 993343248