Search a number
-
+
320876608 = 26131133413
BaseRepresentation
bin10011001000000…
…011000001000000
3211100210012221211
4103020003001000
51124121022413
651501255504
710644256213
oct2310030100
9740705854
10320876608
11155143388
128b564594
135162a220
143088977a
151d28483d
hex13203040

320876608 has 56 divisors (see below), whose sum is σ = 691990488. Its totient is φ = 146743296.

The previous prime is 320876603. The next prime is 320876627. The reversal of 320876608 is 806678023.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6594624 + 314281984 = 2568^2 + 17728^2 .

It is not an unprimeable number, because it can be changed into a prime (320876603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92310 + ... + 95722.

It is an arithmetic number, because the mean of its divisors is an integer number (12356973).

Almost surely, 2320876608 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 320876608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345995244).

320876608 is an abundant number, since it is smaller than the sum of its proper divisors (371113880).

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

320876608 is a wasteful number, since it uses less digits than its factorization.

320876608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 320876608 is about 17913.0290012605. The cubic root of 320876608 is about 684.6143836318.

The spelling of 320876608 in words is "three hundred twenty million, eight hundred seventy-six thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 208 226 416 452 832 904 1469 1808 2938 3413 3616 5876 6826 7232 11752 13652 23504 27304 44369 47008 54608 88738 94016 109216 177476 218432 354952 385669 709904 771338 1419808 1542676 2839616 3085352 5013697 6170704 10027394 12341408 20054788 24682816 40109576 80219152 160438304 320876608