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314434146 = 231343241389
BaseRepresentation
bin10010101111011…
…110001001100010
3210220122220120010
4102233132021202
51120443343041
651111225350
710535434425
oct2257361142
9726586503
10314434146
11151543034
1289378256
13501b2a10
142da8d9bc
151c910a16
hex12bde262

314434146 has 64 divisors (see below), whose sum is σ = 697656960. Its totient is φ = 93864960.

The previous prime is 314434117. The next prime is 314434163. The reversal of 314434146 is 641434413.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 808120 + ... + 808508.

It is an arithmetic number, because the mean of its divisors is an integer number (10900890).

Almost surely, 2314434146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314434146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348828480).

314434146 is an abundant number, since it is smaller than the sum of its proper divisors (383222814).

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

314434146 is a wasteful number, since it uses less digits than its factorization.

314434146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691.

The product of its digits is 13824, while the sum is 30.

The square root of 314434146 is about 17732.2910533298. The cubic root of 314434146 is about 680.0015469976.

Adding to 314434146 its reverse (641434413), we get a palindrome (955868559).

The spelling of 314434146 in words is "three hundred fourteen million, four hundred thirty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 241 258 389 482 559 723 778 1118 1167 1446 1677 2334 3133 3354 5057 6266 9399 10114 10363 15171 16727 18798 20726 30342 31089 33454 50181 62178 93749 100362 134719 187498 217451 269438 281247 404157 434902 562494 652353 808314 1218737 1304706 2437474 3656211 4031207 7312422 8062414 12093621 24187242 52405691 104811382 157217073 314434146