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318280640 = 2657611307
BaseRepresentation
bin10010111110001…
…001001111000000
3211011220022221212
4102332021033000
51122434440030
651325505252
710613224616
oct2276111700
9734808855
10318280640
1115372aa57
128a712228
1350c2b752
14303b16b6
151ce20595
hex12f893c0

318280640 has 56 divisors (see below), whose sum is σ = 759482352. Its totient is φ = 127047680.

The previous prime is 318280639. The next prime is 318280667. The reversal of 318280640 is 46082813.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 318280597 and 318280606.

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 7 ways as a sum of consecutive naturals, for example, 242867 + ... + 244173.

Almost surely, 2318280640 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 318280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379741176).

318280640 is an abundant number, since it is smaller than the sum of its proper divisors (441201712).

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

318280640 is a wasteful number, since it uses less digits than its factorization.

318280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 318280640 is about 17840.4215196839. The cubic root of 318280640 is about 682.7631513068.

The spelling of 318280640 in words is "three hundred eighteen million, two hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 761 1307 1522 2614 3044 3805 5228 6088 6535 7610 10456 12176 13070 15220 20912 24352 26140 30440 41824 48704 52280 60880 83648 104560 121760 209120 243520 418240 994627 1989254 3978508 4973135 7957016 9946270 15914032 19892540 31828064 39785080 63656128 79570160 159140320 318280640