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320363316 = 223371337881
BaseRepresentation
bin10011000110000…
…101101100110100
3211022211010212000
4103012011230310
51124003111231
651442255300
710640020560
oct2306055464
9738733760
10320363316
11154922779
128b357530
13514aa6c0
14307946a0
151d1d26e6
hex13185b34

320363316 has 192 divisors, whose sum is σ = 1051061760. Its totient is φ = 82114560.

The previous prime is 320363227. The next prime is 320363341. The reversal of 320363316 is 613363023.

320363316 is a `hidden beast` number, since 3 + 20 + 3 + 633 + 1 + 6 = 666.

320363316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 320363316.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363196 + ... + 364076.

It is an arithmetic number, because the mean of its divisors is an integer number (5474280).

Almost surely, 2320363316 is an apocalyptic number.

320363316 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 320363316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525530880).

320363316 is an abundant number, since it is smaller than the sum of its proper divisors (730698444).

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

320363316 is a wasteful number, since it uses less digits than its factorization.

320363316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 320363316 is about 17898.6959301509. The cubic root of 320363316 is about 684.2491397749.

The spelling of 320363316 in words is "three hundred twenty million, three hundred sixty-three thousand, three hundred sixteen".