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314217030 = 235232941383
BaseRepresentation
bin10010101110101…
…001001001000110
3210220020212201210
4102232221021012
51120414421110
651102432250
710533541431
oct2256511106
9726225653
10314217030
111514049a6
1289292686
1350137c4a
142da34818
151c8bb520
hex12ba9246

314217030 has 128 divisors (see below), whose sum is σ = 836075520. Its totient is φ = 75299840.

The previous prime is 314216977. The next prime is 314217037. The reversal of 314217030 is 30712413.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 314216988 and 314217006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314217037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 820219 + ... + 820601.

It is an arithmetic number, because the mean of its divisors is an integer number (6531840).

Almost surely, 2314217030 is an apocalyptic number.

314217030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314217030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418037760).

314217030 is an abundant number, since it is smaller than the sum of its proper divisors (521858490).

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

314217030 is a wasteful number, since it uses less digits than its factorization.

314217030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 314217030 is about 17726.1679445954. The cubic root of 314217030 is about 679.8449978311.

Adding to 314217030 its reverse (30712413), we get a palindrome (344929443).

The spelling of 314217030 in words is "three hundred fourteen million, two hundred seventeen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 41 46 58 69 82 87 115 123 138 145 174 205 230 246 290 345 383 410 435 615 667 690 766 870 943 1149 1189 1230 1334 1886 1915 2001 2298 2378 2829 3335 3567 3830 4002 4715 5658 5745 5945 6670 7134 8809 9430 10005 11107 11490 11890 14145 15703 17618 17835 20010 22214 26427 27347 28290 31406 33321 35670 44045 47109 52854 54694 55535 66642 78515 82041 88090 94218 111070 132135 136735 157030 164082 166605 235545 255461 264270 273470 333210 361169 410205 455387 471090 510922 722338 766383 820410 910774 1083507 1277305 1366161 1532766 1805845 2167014 2276935 2554610 2732322 3611690 3831915 4553870 5417535 6830805 7663830 10473901 10835070 13661610 20947802 31421703 52369505 62843406 104739010 157108515 314217030