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331324320 = 2535690259
BaseRepresentation
bin10011101111111…
…001101110100000
3212002110000112010
4103233321232200
51134304334240
652513232520
711132132055
oct2357715640
9762400463
10331324320
11160029958
1292b62740
13538477c2
143200902c
151e14a280
hex13bf9ba0

331324320 has 48 divisors (see below), whose sum is σ = 1043673120. Its totient is φ = 88353024.

The previous prime is 331324319. The next prime is 331324327. The reversal of 331324320 is 23423133.

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

It is not an unprimeable number, because it can be changed into a prime (331324327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344650 + ... + 345609.

It is an arithmetic number, because the mean of its divisors is an integer number (21743190).

Almost surely, 2331324320 is an apocalyptic number.

331324320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331324320 is an abundant number, since it is smaller than the sum of its proper divisors (712348800).

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

331324320 is a wasteful number, since it uses less digits than its factorization.

331324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690277 (or 690269 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 331324320 is about 18202.3163361150. The cubic root of 331324320 is about 691.9654943980.

Adding to 331324320 its reverse (23423133), we get a palindrome (354747453).

The spelling of 331324320 in words is "three hundred thirty-one million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 690259 1380518 2070777 2761036 3451295 4141554 5522072 6902590 8283108 10353885 11044144 13805180 16566216 20707770 22088288 27610360 33132432 41415540 55220720 66264864 82831080 110441440 165662160 331324320