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314303310 = 232517205427
BaseRepresentation
bin10010101110111…
…110001101001110
3210220102021002100
4102232332031032
51120430201220
651104335530
710534351116
oct2256761516
9726367070
10314303310
11151463802
12893145a6
13501682b9
142da58046
151c8d6d90
hex12bbe34e

314303310 has 48 divisors (see below), whose sum is σ = 865262736. Its totient is φ = 78883584.

The previous prime is 314303299. The next prime is 314303333. The reversal of 314303310 is 13303413.

It is a super-2 number, since 2×3143033102 = 197573141353912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 101184 + ... + 104243.

It is an arithmetic number, because the mean of its divisors is an integer number (18026307).

Almost surely, 2314303310 is an apocalyptic number.

314303310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314303310 is an abundant number, since it is smaller than the sum of its proper divisors (550959426).

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

314303310 is a wasteful number, since it uses less digits than its factorization.

314303310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205457 (or 205454 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 314303310 is about 17728.6014676849. The cubic root of 314303310 is about 679.9072177331.

Adding to 314303310 its reverse (13303413), we get a palindrome (327606723).

The spelling of 314303310 in words is "three hundred fourteen million, three hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 205427 410854 616281 1027135 1232562 1848843 2054270 3081405 3492259 3697686 6162810 6984518 9244215 10476777 17461295 18488430 20953554 31430331 34922590 52383885 62860662 104767770 157151655 314303310