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314013296 = 24237311689
BaseRepresentation
bin10010101101110…
…111011001110000
3210212212112021002
4102231313121300
51120341411141
651054221132
710532032442
oct2255673160
9725775232
10314013296
11151285923
12891b47a8
13500962ac
142d9c0492
151c87ae9b
hex12b77670

314013296 has 40 divisors (see below), whose sum is σ = 643604640. Its totient is φ = 148110336.

The previous prime is 314013289. The next prime is 314013311. The reversal of 314013296 is 692310413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21020 + ... + 32708.

It is an arithmetic number, because the mean of its divisors is an integer number (16090116).

Almost surely, 2314013296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314013296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321802320).

314013296 is an abundant number, since it is smaller than the sum of its proper divisors (329591344).

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

314013296 is a wasteful number, since it uses less digits than its factorization.

314013296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11793 (or 11787 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 314013296 is about 17720.4203110423. The cubic root of 314013296 is about 679.6980320147.

The spelling of 314013296 in words is "three hundred fourteen million, thirteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 73 92 146 184 292 368 584 1168 1679 3358 6716 11689 13432 23378 26864 46756 93512 187024 268847 537694 853297 1075388 1706594 2150776 3413188 4301552 6826376 13652752 19625831 39251662 78503324 157006648 314013296