Search a number
-
+
322308420 = 223573971933
BaseRepresentation
bin10011001101100…
…000100101000100
3211110110222000220
4103031200211010
51130002332140
651552104340
710662401460
oct2315404504
9743428026
10322308420
11155a310a5
128bb350b0
1351a0bb55
1430b3d4a0
151d468bd0
hex13360944

322308420 has 96 divisors (see below), whose sum is σ = 1034519808. Its totient is φ = 73446912.

The previous prime is 322308409. The next prime is 322308479. The reversal of 322308420 is 24803223.

322308420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 165774 + ... + 167706.

It is an arithmetic number, because the mean of its divisors is an integer number (10776248).

Almost surely, 2322308420 is an apocalyptic number.

322308420 is a gapful number since it is divisible by the number (30) 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 322308420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517259904).

322308420 is an abundant number, since it is smaller than the sum of its proper divisors (712211388).

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

322308420 is a wasteful number, since it uses less digits than its factorization.

322308420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 322308420 is about 17952.9501753890. The cubic root of 322308420 is about 685.6311656441.

The spelling of 322308420 in words is "three hundred twenty-two million, three hundred eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 397 420 794 1191 1588 1933 1985 2382 2779 3866 3970 4764 5558 5799 5955 7732 7940 8337 9665 11116 11598 11910 13531 13895 16674 19330 23196 23820 27062 27790 28995 33348 38660 40593 41685 54124 55580 57990 67655 81186 83370 115980 135310 162372 166740 202965 270620 405930 767401 811860 1534802 2302203 3069604 3837005 4604406 5371807 7674010 9208812 10743614 11511015 15348020 16115421 21487228 23022030 26859035 32230842 46044060 53718070 64461684 80577105 107436140 161154210 322308420