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490314 = 2311171923
BaseRepresentation
bin1110111101101001010
3220220120210
41313231022
5111142224
614301550
74111326
oct1675512
9826523
10490314
11305420
121b78b6
13142236
14ca986
159a429
hex77b4a

490314 has 64 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 126720.

The previous prime is 490313. The next prime is 490339. The reversal of 490314 is 413094.

490314 is a nontrivial binomial coefficient, being equal to C(23, 8).

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 490314.

It is not an unprimeable number, because it can be changed into a prime (490313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21307 + ... + 21329.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2490314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

490314 is an abundant number, since it is smaller than the sum of its proper divisors (753846).

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

490314 is a wasteful number, since it uses less digits than its factorization.

490314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 490314 is about 700.2242497943. The cubic root of 490314 is about 78.8541881226.

The spelling of 490314 in words is "four hundred ninety thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 17 19 22 23 33 34 38 46 51 57 66 69 102 114 138 187 209 253 323 374 391 418 437 506 561 627 646 759 782 874 969 1122 1173 1254 1311 1518 1938 2346 2622 3553 4301 4807 7106 7429 8602 9614 10659 12903 14421 14858 21318 22287 25806 28842 44574 81719 163438 245157 490314