Search a number
-
+
314330340 = 223517349883
BaseRepresentation
bin10010101111000…
…100110011100100
3210220110122011110
4102233010303210
51120432032330
651105105020
710534522662
oct2257046344
9726418143
10314330340
11151482045
1289328170
13501776ac
142da63c32
151c8dedb0
hex12bc4ce4

314330340 has 96 divisors (see below), whose sum is σ = 935625600. Its totient is φ = 78575616.

The previous prime is 314330339. The next prime is 314330371. The reversal of 314330340 is 43033413.

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, 355539 + ... + 356421.

It is an arithmetic number, because the mean of its divisors is an integer number (9746100).

Almost surely, 2314330340 is an apocalyptic number.

314330340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467812800).

314330340 is an abundant number, since it is smaller than the sum of its proper divisors (621295260).

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

314330340 is a wasteful number, since it uses less digits than its factorization.

314330340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 314330340 is about 17729.3637787711. The cubic root of 314330340 is about 679.9267077869.

Adding to 314330340 its reverse (43033413), we get a palindrome (357363753).

The spelling of 314330340 in words is "three hundred fourteen million, three hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 349 510 698 883 1020 1047 1396 1745 1766 2094 2649 3490 3532 4188 4415 5235 5298 5933 6980 8830 10470 10596 11866 13245 15011 17660 17799 20940 23732 26490 29665 30022 35598 45033 52980 59330 60044 71196 75055 88995 90066 118660 150110 177990 180132 225165 300220 308167 355980 450330 616334 900660 924501 1232668 1540835 1849002 3081670 3698004 4622505 5238839 6163340 9245010 10477678 15716517 18490020 20955356 26194195 31433034 52388390 62866068 78582585 104776780 157165170 314330340