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316840000 = 2654892
BaseRepresentation
bin10010111000101…
…001100001000000
3211002012010202211
4102320221201000
51122102340000
651234551504
710565044531
oct2270514100
9732163684
10316840000
11152936644
128a138594
1350845ab9
1430118688
151cc387ba
hex12e29840

316840000 has 105 divisors (see below), whose sum is σ = 794587057. Its totient is φ = 125312000.

The previous prime is 316839997. The next prime is 316840003. The reversal of 316840000 is 48613.

The square root of 316840000 is 17800.

It is a perfect power (a square), and thus also a powerful number.

316840000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (316839997) and next prime (316840003).

It can be written as a sum of positive squares in 7 ways, for example, as 307791936 + 9048064 = 17544^2 + 3008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (316840003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3559956 + ... + 3560044.

Almost surely, 2316840000 is an apocalyptic number.

316840000 is the 17800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316840000

316840000 is an abundant number, since it is smaller than the sum of its proper divisors (477747057).

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

316840000 is an frugal number, since it uses more digits than its factorization.

316840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 316840000 is about 681.7314583300.

Multiplying 316840000 by its product of nonzero digits (576), we get a square (182499840000 = 4272002).

Adding to 316840000 its reverse (48613), we get a palindrome (316888613).

The spelling of 316840000 in words is "three hundred sixteen million, eight hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 125 160 178 200 250 320 356 400 445 500 625 712 800 890 1000 1250 1424 1600 1780 2000 2225 2500 2848 3560 4000 4450 5000 5696 7120 7921 8000 8900 10000 11125 14240 15842 17800 20000 22250 28480 31684 35600 39605 40000 44500 55625 63368 71200 79210 89000 111250 126736 142400 158420 178000 198025 222500 253472 316840 356000 396050 445000 506944 633680 712000 792100 890000 990125 1267360 1584200 1780000 1980250 2534720 3168400 3560000 3960500 4950625 6336800 7921000 9901250 12673600 15842000 19802500 31684000 39605000 63368000 79210000 158420000 316840000