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320749956 = 22346116229
BaseRepresentation
bin10011000111100…
…100000110000100
3211100112210020000
4103013210012010
51124102444311
651454441300
710643221032
oct2307440604
9740483200
10320749956
1115506720a
128b503230
13515b4697
1430855552
151d25c056
hex131e4184

320749956 has 60 divisors (see below), whose sum is σ = 852302220. Its totient is φ = 105157440.

The previous prime is 320749907. The next prime is 320749969. The reversal of 320749956 is 659947023.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 164249856 + 156500100 = 12816^2 + 12510^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11650 + ... + 27878.

It is an arithmetic number, because the mean of its divisors is an integer number (14205037).

Almost surely, 2320749956 is an apocalyptic number.

320749956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320749956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426151110).

320749956 is an abundant number, since it is smaller than the sum of its proper divisors (531552264).

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

320749956 is a wasteful number, since it uses less digits than its factorization.

320749956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16306 (or 16295 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 320749956 is about 17909.4934601736. The cubic root of 320749956 is about 684.5242979215.

The spelling of 320749956 in words is "three hundred twenty million, seven hundred forty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2196 3294 4941 6588 9882 16229 19764 32458 48687 64916 97374 146061 194748 292122 438183 584244 876366 989969 1314549 1752732 1979938 2629098 2969907 3959876 5258196 5939814 8909721 11879628 17819442 26729163 35638884 53458326 80187489 106916652 160374978 320749956