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314046100 = 225217184733
BaseRepresentation
bin10010101101111…
…111011010010100
3210212221012021001
4102231333122110
51120343433400
651055033044
710532230204
oct2255773224
9725835231
10314046100
111512a8535
128920b784
13500a81c4
142d9cc404
151c885a6a
hex12b7f694

314046100 has 36 divisors (see below), whose sum is σ = 721571004. Its totient is φ = 118228480.

The previous prime is 314046077. The next prime is 314046127. The reversal of 314046100 is 1640413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1887876 + 312158224 = 1374^2 + 17668^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 90667 + ... + 94066.

It is an arithmetic number, because the mean of its divisors is an integer number (20043639).

Almost surely, 2314046100 is an apocalyptic number.

It is an amenable number.

314046100 is an abundant number, since it is smaller than the sum of its proper divisors (407524904).

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

314046100 is a wasteful number, since it uses less digits than its factorization.

314046100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184764 (or 184757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 314046100 is about 17721.3458856826. The cubic root of 314046100 is about 679.7216998425.

Adding to 314046100 its reverse (1640413), we get a palindrome (315686513).

The spelling of 314046100 in words is "three hundred fourteen million, forty-six thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 184733 369466 738932 923665 1847330 3140461 3694660 4618325 6280922 9236650 12561844 15702305 18473300 31404610 62809220 78511525 157023050 314046100