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314885740 = 2251341109271
BaseRepresentation
bin10010110001001…
…100011001101100
3210221111212000211
4102301030121230
51121102320430
651125032204
710542325141
oct2261143154
9727455024
10314885740
11151821354
1289555664
1350310430
142db6a3c8
151c99e72a
hex12c4c66c

314885740 has 96 divisors (see below), whose sum is σ = 738904320. Its totient is φ = 111974400.

The previous prime is 314885737. The next prime is 314885743. The reversal of 314885740 is 47588413.

It is an interprime number because it is at equal distance from previous prime (314885737) and next prime (314885743).

It is a super-3 number, since 3×3148857403 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314885693 and 314885702.

It is not an unprimeable number, because it can be changed into a prime (314885743) 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 31 ways as a sum of consecutive naturals, for example, 1161805 + ... + 1162075.

It is an arithmetic number, because the mean of its divisors is an integer number (7696920).

Almost surely, 2314885740 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 314885740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369452160).

314885740 is an abundant number, since it is smaller than the sum of its proper divisors (424018580).

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

314885740 is a wasteful number, since it uses less digits than its factorization.

314885740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 314885740 is about 17745.0201465087. The cubic root of 314885740 is about 680.3269333325.

It can be divided in two parts, 3148 and 85740, that added together give a palindrome (88888).

The spelling of 314885740 in words is "three hundred fourteen million, eight hundred eighty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 109 130 164 205 218 260 271 410 436 533 542 545 820 1066 1084 1090 1355 1417 2132 2180 2665 2710 2834 3523 4469 5330 5420 5668 7046 7085 8938 10660 11111 14092 14170 17615 17876 22222 22345 28340 29539 35230 44444 44690 55555 58097 59078 70460 89380 111110 116194 118156 144443 147695 222220 232388 288886 290485 295390 384007 577772 580970 590780 722215 768014 1161940 1211099 1444430 1536028 1920035 2422198 2888860 3840070 4844396 6055495 7680140 12110990 15744287 24221980 31488574 62977148 78721435 157442870 314885740