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314461303 = 1331225171
BaseRepresentation
bin10010101111100…
…100110001110111
3210220201021210221
4102233210301313
51121000230203
651111555211
710535606542
oct2257446167
9726637727
10314461303
11151561482
128938bb07
13501c21a0
142da99859
151c918abd
hex12be4c77

314461303 has 12 divisors (see below), whose sum is σ = 349941144. Its totient is φ = 280897200.

The previous prime is 314461289. The next prime is 314461307. The reversal of 314461303 is 303164413.

It is a happy number.

It is not a de Polignac number, because 314461303 - 29 = 314460791 is a prime.

It is a super-2 number, since 2×3144613032 = 197771822168915618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314461307) 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 11 ways as a sum of consecutive naturals, for example, 93 + ... + 25078.

It is an arithmetic number, because the mean of its divisors is an integer number (29161762).

Almost surely, 2314461303 is an apocalyptic number.

314461303 is a deficient number, since it is larger than the sum of its proper divisors (35479841).

314461303 is a wasteful number, since it uses less digits than its factorization.

314461303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25246 (or 25215 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 314461303 is about 17733.0567866908. The cubic root of 314461303 is about 680.0211231904.

The spelling of 314461303 in words is "three hundred fourteen million, four hundred sixty-one thousand, three hundred three".

Divisors: 1 13 31 403 961 12493 25171 327223 780301 10143913 24189331 314461303