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320343320 = 235114671559
BaseRepresentation
bin10011000110000…
…000110100011000
3211022210010102102
4103012000310120
51124001441240
651442022532
710636605353
oct2306006430
9738703372
10320343320
11154909750
128b347a48
13514a157b
143078b29a
151d1cb815
hex13180d18

320343320 has 64 divisors (see below), whose sum is σ = 788486400. Its totient is φ = 116164480.

The previous prime is 320343319. The next prime is 320343343. The reversal of 320343320 is 23343023.

320343320 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 320343292 and 320343301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204701 + ... + 206259.

It is an arithmetic number, because the mean of its divisors is an integer number (12320100).

Almost surely, 2320343320 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 320343320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394243200).

320343320 is an abundant number, since it is smaller than the sum of its proper divisors (468143080).

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

320343320 is a wasteful number, since it uses less digits than its factorization.

320343320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 320343320 is about 17898.1373332534. The cubic root of 320343320 is about 684.2349033026.

Adding to 320343320 its reverse (23343023), we get a palindrome (343686343).

The spelling of 320343320 in words is "three hundred twenty million, three hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 467 934 1559 1868 2335 3118 3736 4670 5137 6236 7795 9340 10274 12472 15590 17149 18680 20548 25685 31180 34298 41096 51370 62360 68596 85745 102740 137192 171490 205480 342980 685960 728053 1456106 2912212 3640265 5824424 7280530 8008583 14561060 16017166 29122120 32034332 40042915 64068664 80085830 160171660 320343320