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314001310 = 25722412659
BaseRepresentation
bin10010101101110…
…100011110011110
3210212211220211011
4102231310132132
51120341020220
651054045434
710531652500
oct2255643636
9725756734
10314001310
11151277917
12891a987a
13500909bc
142d9b9d70
151c87765a
hex12b7479e

314001310 has 48 divisors (see below), whose sum is σ = 660456720. Its totient is φ = 107170560.

The previous prime is 314001301. The next prime is 314001377. The reversal of 314001310 is 13100413.

It is a super-2 number, since 2×3140013102 = 197193645363432200, which contains 22 as substring.

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, 116761 + ... + 119419.

It is an arithmetic number, because the mean of its divisors is an integer number (13759515).

Almost surely, 2314001310 is an apocalyptic number.

314001310 is an abundant number, since it is smaller than the sum of its proper divisors (346455410).

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

314001310 is a wasteful number, since it uses less digits than its factorization.

314001310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 314001310 is about 17720.0821104192. The cubic root of 314001310 is about 679.6893837989.

Adding to 314001310 its reverse (13100413), we get a palindrome (327101723).

The spelling of 314001310 in words is "three hundred fourteen million, one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 241 245 482 490 1205 1687 2410 2659 3374 5318 8435 11809 13295 16870 18613 23618 26590 37226 59045 93065 118090 130291 186130 260582 640819 651455 1281638 1302910 3204095 4485733 6408190 8971466 22428665 31400131 44857330 62800262 157000655 314001310