Search a number
-
+
314680100 = 22527449543
BaseRepresentation
bin10010110000011…
…010001100100100
3210221010101221112
4102300122030210
51121024230400
651120404152
710540510460
oct2260321444
9727111845
10314680100
111516a08a9
1289476658
135026a957
142db154a0
151c95d835
hex12c1a324

314680100 has 36 divisors (see below), whose sum is σ = 780408384. Its totient is φ = 107890080.

The previous prime is 314680097. The next prime is 314680111. The reversal of 314680100 is 1086413.

It is an unprimeable number.

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, 224072 + ... + 225471.

Almost surely, 2314680100 is an apocalyptic number.

It is an amenable number.

314680100 is an abundant number, since it is smaller than the sum of its proper divisors (465728284).

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

314680100 is a wasteful number, since it uses less digits than its factorization.

314680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449564 (or 449557 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 314680100 is about 17739.2248985123. The cubic root of 314680100 is about 680.1788024617.

The spelling of 314680100 in words is "three hundred fourteen million, six hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 449543 899086 1798172 2247715 3146801 4495430 6293602 8990860 11238575 12587204 15734005 22477150 31468010 44954300 62936020 78670025 157340050 314680100