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314520468 = 223173674201
BaseRepresentation
bin10010101111110…
…011001110010100
3210220211021222020
4102233303032110
51121004123333
651113133140
710536244203
oct2257631624
9726737866
10314520468
111515a1979
12893ba1b0
13502130b2
142dab323a
151c92b3b3
hex12bf3394

314520468 has 48 divisors (see below), whose sum is σ = 779353344. Its totient is φ = 98380800.

The previous prime is 314520439. The next prime is 314520473. The reversal of 314520468 is 864025413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72768 + ... + 76968.

It is an arithmetic number, because the mean of its divisors is an integer number (16236528).

Almost surely, 2314520468 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 314520468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389676672).

314520468 is an abundant number, since it is smaller than the sum of its proper divisors (464832876).

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

314520468 is a wasteful number, since it uses less digits than its factorization.

314520468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 314520468 is about 17734.7249203364. The cubic root of 314520468 is about 680.0637685296.

The spelling of 314520468 in words is "three hundred fourteen million, five hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 367 734 1101 1468 2202 4201 4404 6239 8402 12478 12603 16804 18717 24956 25206 37434 50412 71417 74868 142834 214251 285668 428502 857004 1541767 3083534 4625301 6167068 9250602 18501204 26210039 52420078 78630117 104840156 157260234 314520468