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320716656 = 2432131971127
BaseRepresentation
bin10011000111011…
…011111101110000
3211100111002112200
4103013123331300
51124100413111
651454023200
710643021661
oct2307337560
9740432480
10320716656
11155044197
128b4a7b00
13515a2490
1430847368
151d252256
hex131dbf70

320716656 has 240 divisors, whose sum is σ = 1039933440. Its totient is φ = 91445760.

The previous prime is 320716651. The next prime is 320716657. The reversal of 320716656 is 656617023.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 320716656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320716651) 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 47 ways as a sum of consecutive naturals, for example, 2525265 + ... + 2525391.

It is an arithmetic number, because the mean of its divisors is an integer number (4333056).

Almost surely, 2320716656 is an apocalyptic number.

320716656 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 320716656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519966720).

320716656 is an abundant number, since it is smaller than the sum of its proper divisors (719216784).

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

320716656 is a wasteful number, since it uses less digits than its factorization.

320716656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 320716656 is about 17908.5637615081. The cubic root of 320716656 is about 684.5006081827.

The spelling of 320716656 in words is "three hundred twenty million, seven hundred sixteen thousand, six hundred fifty-six".