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314760200 = 23522954269
BaseRepresentation
bin10010110000101…
…101110000001000
3210221021110211012
4102300231300020
51121034311300
651122223052
710541263136
oct2260556010
9727243735
10314760200
11151745aa7
12894b4a88
1350298251
142db36756
151c977435
hex12c2dc08

314760200 has 48 divisors (see below), whose sum is σ = 757066500. Its totient is φ = 121560320.

The previous prime is 314760191. The next prime is 314760203. The reversal of 314760200 is 2067413.

It can be written as a sum of positive squares in 6 ways, for example, as 189723076 + 125037124 = 13774^2 + 11182^2 .

It is not an unprimeable number, because it can be changed into a prime (314760203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21335 + ... + 32934.

Almost surely, 2314760200 is an apocalyptic number.

It is an amenable number.

314760200 is an abundant number, since it is smaller than the sum of its proper divisors (442306300).

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

314760200 is a wasteful number, since it uses less digits than its factorization.

314760200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54314 (or 54305 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 314760200 is about 17741.4824634245. The cubic root of 314760200 is about 680.2365094261.

The spelling of 314760200 in words is "three hundred fourteen million, seven hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 54269 108538 217076 271345 434152 542690 1085380 1356725 1573801 2170760 2713450 3147602 5426900 6295204 7869005 10853800 12590408 15738010 31476020 39345025 62952040 78690050 157380100 314760200