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320706816 = 283537879
BaseRepresentation
bin10011000111011…
…001100100000000
3211100110121001020
4103013121210000
51124100104231
651453505440
710642651203
oct2307314400
9740417036
10320706816
11155037861
128b4a2280
135159ab61
143084393a
151d24e396
hex131d9900

320706816 has 72 divisors (see below), whose sum is σ = 869762880. Its totient is φ = 104871936.

The previous prime is 320706773. The next prime is 320706839. The reversal of 320706816 is 618607023.

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 7 ways as a sum of consecutive naturals, for example, 36765 + ... + 44643.

It is an arithmetic number, because the mean of its divisors is an integer number (12080040).

Almost surely, 2320706816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434881440).

320706816 is an abundant number, since it is smaller than the sum of its proper divisors (549056064).

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

320706816 is an equidigital number, since it uses as much as digits as its factorization.

320706816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 320706816 is about 17908.2890305020. The cubic root of 320706816 is about 684.4936076577.

The spelling of 320706816 in words is "three hundred twenty million, seven hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 3392 5088 6784 7879 10176 13568 15758 20352 23637 31516 40704 47274 63032 94548 126064 189096 252128 378192 417587 504256 756384 835174 1008512 1252761 1512768 1670348 2017024 2505522 3025536 3340696 5011044 6051072 6681392 10022088 13362784 20044176 26725568 40088352 53451136 80176704 106902272 160353408 320706816