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2840320 = 2857317
BaseRepresentation
bin1010110101011100000000
312100022012001
422311130000
51211342240
6140513344
733066550
oct12653400
95308161
102840320
11166aa7a
12b4b854
13785a82
1453d160
153b189a
hex2b5700

2840320 has 72 divisors (see below), whose sum is σ = 7799904. Its totient is φ = 970752.

The previous prime is 2840303. The next prime is 2840353. The reversal of 2840320 is 230482.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8802 + ... + 9118.

It is an arithmetic number, because the mean of its divisors is an integer number (108332).

22840320 is an apocalyptic number.

2840320 is a gapful number since it is divisible by the number (20) 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 2840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899952).

2840320 is an abundant number, since it is smaller than the sum of its proper divisors (4959584).

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

2840320 is an equidigital number, since it uses as much as digits as its factorization.

2840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2840320 is about 1685.3248944936. The cubic root of 2840320 is about 141.6192936567.

It can be divided in two parts, 2840 and 320, that added together give a triangular number (3160 = T79).

The spelling of 2840320 in words is "two million, eight hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 317 320 448 560 634 640 896 1120 1268 1280 1585 1792 2219 2240 2536 3170 4438 4480 5072 6340 8876 8960 10144 11095 12680 17752 20288 22190 25360 35504 40576 44380 50720 71008 81152 88760 101440 142016 177520 202880 284032 355040 405760 568064 710080 1420160 2840320