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320704768 = 28731312
BaseRepresentation
bin10011000111011…
…001000100000000
3211100110111020101
4103013121010000
51124100023033
651453452144
710642642216
oct2307310400
9740414211
10320704768
1115503626a
128b4a1054
1351599c47
1430842cb6
151d24d97d
hex131d9100

320704768 has 54 divisors (see below), whose sum is σ = 653917502. Its totient is φ = 156948480.

The previous prime is 320704763. The next prime is 320704837. The reversal of 320704768 is 867407023.

It can be written as a sum of positive squares in only one way, i.e., 281165824 + 39538944 = 16768^2 + 6288^2 .

It is not an unprimeable number, because it can be changed into a prime (320704763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2448063 + ... + 2448193.

Almost surely, 2320704768 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 320704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326958751).

320704768 is an abundant number, since it is smaller than the sum of its proper divisors (333212734).

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

320704768 is an frugal number, since it uses more digits than its factorization.

320704768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 320704768 is about 17908.2318501855. The cubic root of 320704768 is about 684.4921506199.

The spelling of 320704768 in words is "three hundred twenty million, seven hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 73 128 131 146 256 262 292 524 584 1048 1168 2096 2336 4192 4672 8384 9344 9563 16768 17161 18688 19126 33536 34322 38252 68644 76504 137288 153008 274576 306016 549152 612032 1098304 1224064 1252753 2196608 2448128 2505506 4393216 5011012 10022024 20044048 40088096 80176192 160352384 320704768