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320328096 = 25311303341
BaseRepresentation
bin10011000101111…
…101000110100000
3211022202100112120
4103011331012200
51124000444341
651441424240
710636513104
oct2305750640
9738670476
10320328096
111548a9270
128b33b080
135149766a
1430785904
151d1c7066
hex1317d1a0

320328096 has 48 divisors (see below), whose sum is σ = 917306208. Its totient is φ = 97068800.

The previous prime is 320328091. The next prime is 320328119. The reversal of 320328096 is 690823023.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3203280962 = 205220178173970432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (320328091) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 150615 + ... + 152726.

It is an arithmetic number, because the mean of its divisors is an integer number (19110546).

Almost surely, 2320328096 is an apocalyptic number.

It is an amenable number.

320328096 is an abundant number, since it is smaller than the sum of its proper divisors (596978112).

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

320328096 is a wasteful number, since it uses less digits than its factorization.

320328096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303365 (or 303357 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 320328096 is about 17897.7120325476. The cubic root of 320328096 is about 684.2240639348.

The spelling of 320328096 in words is "three hundred twenty million, three hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 303341 606682 910023 1213364 1820046 2426728 3336751 3640092 4853456 6673502 7280184 9706912 10010253 13347004 14560368 20020506 26694008 29120736 40041012 53388016 80082024 106776032 160164048 320328096