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930296320 = 295363397
BaseRepresentation
bin110111011100110…
…011001000000000
32101211111221122021
4313130303020000
53401123440240
6232151251224
732024250112
oct6734631000
92354457567
10930296320
11438145438
1221b679b14
1311a9734c5
148b7a53b2
1556a1354a
hex37733200

930296320 has 40 divisors (see below), whose sum is σ = 2230536924. Its totient is φ = 372117504.

The previous prime is 930296317. The next prime is 930296359. The reversal of 930296320 is 23692039.

It can be written as a sum of positive squares in 2 ways, for example, as 832207104 + 98089216 = 28848^2 + 9904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179139 + ... + 184258.

Almost surely, 2930296320 is an apocalyptic number.

It is an amenable number.

930296320 is an abundant number, since it is smaller than the sum of its proper divisors (1300240604).

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

930296320 is an equidigital number, since it uses as much as digits as its factorization.

930296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363420 (or 363404 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 930296320 is about 30500.7593348100. The cubic root of 930296320 is about 976.2036661776.

The spelling of 930296320 in words is "nine hundred thirty million, two hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 363397 726794 1453588 1816985 2907176 3633970 5814352 7267940 11628704 14535880 23257408 29071760 46514816 58143520 93029632 116287040 186059264 232574080 465148160 930296320