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314030300 = 225253193307
BaseRepresentation
bin10010101101111…
…011100011011100
3210212220101120212
4102231323203130
51120342432200
651054431552
710532133143
oct2255734334
9725811525
10314030300
11151297681
12892025b8
13500a0c5c
142d9c675a
151c881035
hex12b7b8dc

314030300 has 72 divisors (see below), whose sum is σ = 700173936. Its totient is φ = 122204160.

The previous prime is 314030281. The next prime is 314030303. The reversal of 314030300 is 3030413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314030303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022747 + ... + 1023053.

It is an arithmetic number, because the mean of its divisors is an integer number (9724638).

Almost surely, 2314030300 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 314030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350086968).

314030300 is an abundant number, since it is smaller than the sum of its proper divisors (386143636).

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

314030300 is a wasteful number, since it uses less digits than its factorization.

314030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 314030300 is about 17720.9000900067. The cubic root of 314030300 is about 679.7103004726.

Adding to 314030300 its reverse (3030413), we get a palindrome (317060713).

The spelling of 314030300 in words is "three hundred fourteen million, thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 193 212 265 307 386 530 614 772 965 1060 1228 1325 1535 1930 2650 3070 3860 4825 5300 6140 7675 9650 10229 15350 16271 19300 20458 30700 32542 40916 51145 59251 65084 81355 102290 118502 162710 204580 237004 255725 296255 325420 406775 511450 592510 813550 1022900 1185020 1481275 1627100 2962550 3140303 5925100 6280606 12561212 15701515 31403030 62806060 78507575 157015150 314030300