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320041368 = 23342771783
BaseRepresentation
bin10011000100110…
…111000110011000
3211022012210020000
4103010313012120
51123412310433
651431333000
710634210133
oct2304670630
9738183200
10320041368
111547228a9
128b221160
13513c6cba
143070d21a
151d16c113
hex13137198

320041368 has 80 divisors (see below), whose sum is σ = 900152880. Its totient is φ = 106235712.

The previous prime is 320041333. The next prime is 320041369. The reversal of 320041368 is 863140023.

It is a happy number.

It is a super-2 number, since 2×3200413682 = 204852954462622848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320041369) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 178605 + ... + 180387.

It is an arithmetic number, because the mean of its divisors is an integer number (11251911).

Almost surely, 2320041368 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 320041368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450076440).

320041368 is an abundant number, since it is smaller than the sum of its proper divisors (580111512).

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

320041368 is a wasteful number, since it uses less digits than its factorization.

320041368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 320041368 is about 17889.7000533827. The cubic root of 320041368 is about 684.0198516861.

The spelling of 320041368 in words is "three hundred twenty million, forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 277 324 554 648 831 1108 1662 1783 2216 2493 3324 3566 4986 5349 6648 7132 7479 9972 10698 14264 14958 16047 19944 21396 22437 29916 32094 42792 44874 48141 59832 64188 89748 96282 128376 144423 179496 192564 288846 385128 493891 577692 987782 1155384 1481673 1975564 2963346 3951128 4445019 5926692 8890038 11853384 13335057 17780076 26670114 35560152 40005171 53340228 80010342 106680456 160020684 320041368